Calculate the height of a tree whose shadow is 20m shorter when the angle of elevation of the sun is 60° than when it's 30°.​

Answers

Answer 1

Answer:

  17.3 m

Step-by-step explanation:

If t is the height of the tree, then the length of the shadow is ...

  shadow length = t/tan(α)

where α is the angle of elevation. The difference in shadow lengths is ...

  20 m = t/tan(30°) -t/tan(60°) = t(√3 -1/√3)

  t = (20 m)/(2/√3) = 10√3 m ≈ 17.3 m

The tree is about 17.3 meters high.


Related Questions

You jog 623 miles around a track each day. If you jogged that distance 4

times last week, how many miles did you jog? in a fraction

Answers

Answer:

6 2/3 miles times 4

Step-by-step explanation:

Convert the fraction 2/3 to a decimal

2/3  = .67

6.67 miles times 4 = 26.68 miles

or 6x4= 24

2/3+2/3+2/3+2/3  =8/3 or 2 2/3

2 2/3 +24 =26 2/3 miles

Hope this helps, have a nice day/night! :D

Enrollment in mathematics courses

increased from 1440 students last

semester to 1925 students this semester.

Find the percent increase, to the nearest

whole percent

Answers

Answer:

25%

Step-by-step explanation:

1925 - 1440 = 485

X/100 = 485/1925 (what percent is 485 of 1925) (%/100=is/of)

(485 x 100) / 1925 (cross multiply)

48500/1925 = 25%

Calculate Unit Rates

please help

Find the unit rate for each problem.​

Answers

Answer:

1. 3 tacos per person

2. 8 chairs per table

3. 6 avocados per bag

Step-by-step explanation:

1) Divide 45 by 15 to get the unit rate: # of taco per person.

45 = 15x

45/15 = 15x/15

3 = x

3 tacos per person

2) Divide 72 by 9 to get the unit rate: # of chairs per table.

72 = 9x

72/9 = 9x/9

8 = x

8 chairs per table

3)  Divide 42 by 7 to get the unit rate: # of avocados per bag.

42 = 7x

42/7 = 7x/7

6 = x

6 avocados per bag

Review the graph. On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4). Everything inside of the first parabola and above the second parabola within the first parabola is shaded. Which system of inequalities has the solution set shown in the graph?

Answers

Answer:

The value of h is h = -1.5

Step-by-step explanation:

The quadratic equation is represented by a parabola, the vertex form of the equation is y = a(x - h)² + k, where

(h , k) are the coordinates of its vertex point

a is the coefficient of x²

∵ The graph is a parabola opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

∴ h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h , k)

∵ h = -1.5 and k = 0

∴ h = -1.5

The value of h is h = -1.5

The value of h is h = -1.5

We have given that,

On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4).

The quadratic equation is represented by a parabola,

What is the vertex form of the parabola?

The  vertex form of the equation is y = a(x - h)² + k, where

(h, k) are the coordinates of its vertex point

a is the coefficient of

∵ The graph is a parabola that opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h, k)

∵ h = -1.5 and k = 0

h = -1.5

The value of h is h = -1.5.

To learn more about the vertex form of parabola visit:

https://brainly.com/question/17987697

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plss help me with this:((((​

Answers

Step-by-step explanation:

what is a square ? or is a number or term/expression for which the square root creates a clean result without any endless positions after the decimal point or non-integer exponents.

for the first problem a is already the right answer.

14b⁴ is not a square term, although b⁴ itself is one (= b²×b²), because 14 is not a square (its square root is an endless number).

1 is actually a square (= 1×1).

b² and y⁴ are squares (b×b and y²×y²).

16b² and 49 are squares (4b×4b and 7×7).

(b+1)⁴ and 4b⁶ are squares ((b+1)²×(b+1)² and 2b³×2b³).

factors of x² + 5x - 6

you know how generic factor multiplication works ?

(x + a)(x + b) = x² + ax + bx + ab

so by comparing, we see that

ax + bx is 5x

therefore

a + b = 5

and

ab = -6

now we could solve this ultimately quadratic problem or (much simpler) use the answer options and see which one fits.

and the right answer is c :

-1 + 6 = 5 (that fits)

-1×6 = -6 (that fits too, so this answer is correct).

A garden has several rows of pumpkin plants.Each row has 10 plants how many pumpkin plants could be in the. Garden what strategy would you use.

Answers

Answer:

since they are in groups of 10, there could be 10,20,30,40,50,60....

I hope it helps.

The total number of pumpkin plants could be 10y where, y is number of rows.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here it is given that :

Each row of garden has 10 plants

Let the number of rows of pumpkin plants be = y

Then the total number of pumpkin plants will  be the multiplication of y and 10 that is : 10y

Therefore,The total number of pumpkin plants could be 10y where, y is number of rows.

Read more about expressions at :

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0 4
2 10
4 16
6 22
what is the slope?
what is the y-intercept?
proportional or not proportional?​

Answers

I think is non proportion

when graphed the first equation in a system of equations is shown here. The equations below are options for the second equation. which of these options would create a system of equations that has NO SOLUTION select all that apply

Answers

A and B I think are the correct answers

P is the point of intersection of the lines with equations 5x — y = 1 and x + 2y = 9
Write down the coordinates of P.

Answers

Answer:

P = (1,4)

Step-by-step explanation:

First turn both equations to slope intercept form (y=mx+b).

5x - y = 1

Subtract 5x on both sides to get -y = -5x + 1, and since we want the y to be positive simply flip all the signs to get

y = 5x - 1.

x + 2y = 9

Subtract x on both sides to get 2y = -x + 9, then divide both sides by 2 to get

y = -1/2x + 9/2.

Now you can graph the two lines and see where they intercept each other. (I graphed them above for you⤴⤴⤴).

Hope this helps :)

help, I have a math question

Answers

Ok what’s the question

How do I solve this question? The wording is confusing to me

Answers

Step-by-step explanation:

Use Pythagarus theorem

17^2=15^2 +x^2

289= 225 + x^2

64=x^2

x = 8 m

Draw a triangle in which an angle, X, is equal to cos^{-1} (4/5)

Answers

Answer:

Work on a grid, like a piece of paper with squares already drown in it, else you need to be really accurate with 90 degrees angles. Draw an horizontal line, count 5 units (cm, inches, squares, whatever you have and draw a piece of a circle (red in my image) that intersect the 4 unit line (green). Join the point you found with the center of the circle to get the angle you want (blue line, the angle is the one marked. Joining ANY point in the first line with any point in the second line will give you the triangle you want. The orange lines are a few possibilities you have.

Is it a bad drawing? Yes. I used paint with a grid made with a spreadsheet, don't expect a masterpiece.

re upload plz help!!!!!

Answers

Answer:

1) A) 64 tickets

  B) $11

2) A) 20 rides

Step-by-step explanation:

1) a) set y to 37 because they made 37 dollars

37 = 0.50x + 5

32 = 0.50x.........subtract 5 from both sides

64 = x..................divide both sides by 0.50 to get x by itself

b) set x to 12 because x is the amount of ride tickets they bought

y = 0.50(12)+ 5

y = 6 + 5............multiply 12 by 0.50

y=11......................add

2) a) set both equations equal to each other to see when they will be equal

0.50x + 5 = 0.75x

0.50x = 0.75x - 5..........subtract 5 from both sides

0.50x - 0.75x = - 5........subtract 0.75x from both sides

-0.25x = - 5......................combine like terms

x=20...................................divide both sides by -0.25 to isolate x

Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount Mr. Chin pays, including tip? $160. 16 $165. 00 $170. 50 $174. 46.

Answers

Answer:

$160.16

Step-by-step explanation:

Well first you need to find 12% of 143.

100%=143

10%=14.3

2%=2.86

12%=17.16

Now we add 17.16 to 143 to get 160.16. This means he pays $160.16.

I hate maths pleas help

Answers

Answer:

These should be the answers you are looking for.

A: 62

B: 8.9

C: 2.8

This should be correct, but please tell me if it isnt.

Explanation:

The simplest way to figure this out is by counting how many marks there are on the number line. If the numbers are betweeen 1 and 2 on a number line for example, youll want to use decimals.

Example of a problem:

I--I--I--I--I--I--I--I--I--I--I

1               ^              2

Count the markings like this: 1.1, 1.2, 1.3, 1.4, 1.5 .

the furthest you can go with a decimal until you get a full number is 0.9.

If you are solving a question with full numbers (example: 20 through 30), you would count normally.

I--I--I--I--I--I--I--I--I--I--I

20           ^              30

The answer would be 25 for this one.

I hope this helps you out in the future.

Math definetly sucks, especially common core. I feel you.

The elevation of city A is 72 feet above sea level; the elevation of city C is 24 feet above sea level. The elevation of city D is 1/4
of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D.
Part B: Simplify the expression and explain why the answer is negative or positive.

Answers

Answer:

6 ft.

Step-by-step explanation:

If city c is 24 ft above sea level and city d is 1/4 of the elevation all you do is find 1/4 of 24  so the expression would be 1/4 x 24

im not really good at simplifying expressions but it would probably stay the same so the answer would be positive.

hope this helps :)

Answer:

  A. 1/4×24 ft

  B. 6 ft, the product has no negative factors that would make it negative.

Step-by-step explanation:

A.

1/4 of the elevation of city C can be written as ...

  (1/4)(24 ft)

__

B.

When the expression is simplified, it becomes ...

  6 ft

The product of two positive numbers is positive.

What is the estimate for 636,291 plus 280,329

Answers

Answer:

this is simple addition: 916620

Step-by-step explanation:

Answer:

637000 + 280000

Step-by-Step-Explanation:

This is probably the best estimate

Be quiet! The teacher (be) angry

Answers

what is this how so i do this

Clara writes the equation (x â€"" 13)(x 8) = 196 to solve for the missing side length of a rectangle represented by the factor x 8. What is the missing side length represented by x 8 units of the rectangle? 7 15 20 28.

Answers

Answer:

The Answer is 28.  Please mark the brainliest! And thanks!

Step-by-step explanation:

Did with a teacher!

Translate the sentence into an inequality.
Twice the difference of a number and 7 is at most 30.
Use the variable w for the unknown number.

Answers

Answer:

[tex]2(w-7) < 30[/tex]

Step-by-step explanation:

Twice is translate as multiply by 2The different is the subtraction between [tex]w[/tex] and 7at most 30 is equal to say that can't be greater than 30

Combine each step give us the next expression: [tex]2(w-7) < 30[/tex]

Answer:

2w+14<(with the line under the <)30

Step-by-step explanation:

Kyle had some money.
He spent £12 on a ticket to a football match.
He spent £9.90 on a scarf.
Kyle has two-fifths of his money left.
Work out how much money Kyle had to start with.

Answers

£36.50 is the answer
pls make me brainliest i need one more to move up :)
it means he spent three-fifths
12 + 9.90 = 21.90
21.90 = three-fifths
one-fifth = 21.90 : 3 = 7.3
7.3 x 5 = 36.5

Simplify square root of negative 49.

Answers

Answer

7 i i think

Step-by-step explanation:

Find the slope of each line.

Answers

Answer:

Step-by-step explanation:

There are 4 conditions that have to be met before you can declare what the slope is.

1. y has to be on one side of the equation.

2. y must have a coefficient of +1

3. the other side contains the x value. It can have any number as the slope which is in front of x.  

4. The value of the number by itself which is not connected to x or y can also be  any value including the irrational numbers.

Examples

y = 5x + 4

slope =  5

y intercept = 4

y = πx + sqrt(5)

slope = pi

y intercept = sqrt(5)

Answer to your question

slope = 7/5

y intercept = 5

convert 250 Angtrums to centimeters

Answers

2.5x-10^6 is the answer

what is the slope of the line // take my points !!!!

Answers

Answer:

Im not sure

Step-by-step explanation:

Im not sure what the exact slope is, but instead of being useless, and a waste of your time, here is how to find the slope.To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Can you please help me ASAP!!!
Please help ???
:)


x+8=3x

Answers

Your welcome!

x = 4

Please mark brainiest

The answer will be x = 4, the way to know that is practically move the 8 to the side where is the 3 and convert the positive 8 into a negative 8, then you move the 3 to the other side an change it into a negative 3 to then subtract the 3 with the x and have -2. After that you divide the -2 with the -8 and there is your answer

(Hurry) guys pls help me, i don’t understand what my teacher taught me

Answers

Answer:

Step-by-step explanation:

me too i dont know

Answer:

8 cm≈ 117.6 cm³

Step-by-step explanation:

Total surface area:

A = 4(1/2*7*l) + 7² = 14l + 49, where l is a slant height

We are given:

A = 161 cm²

Find the value of l:

14l + 49 = 16114l = 112l = 112/14l = 8 cm

Use Pythagorean to find the height h of the pyramid:

l² = h² + (7/2)²8² = h² + 3.5²h² = 8² - 3.5²h² = 51.75h = √51.75h ≈ 7.2 cm

Find the volume:

V = 1/3BhV = 1/3*7²*7.2V = 117.6 cm³

There are 153 millimeters of juice in 1 carton. A three-pack of juice boxes contains a total if 459 millimeters. A. Estimate, and then find the actual total amount of juice in 1 carton and in a three-pack of juices boxes.

Answers

Answer:

1 juice boxes = 153 millimeters

459 ?

3 juice boxes = 459 millimeters

Step-by-step explanation:

notah decides to buy a new phone.He pays $ up front and then will pay the same amount each month for 8 months.The total cost of the phone is $600.How much will Notah pay each month?

Answers

Answer:

75 dollars a month

Step-by-step explanation:

To find The amount we need to divide 600 by 8 which gives us 75

Answer:

75

Step-by-step explanation:

600 divided by 75 = 8 so his rent fee will be 75 a month

5y - 31
Р
6x - 2y
2y + 5
4x + 4
T
R
S
7x - 17

Answers

you take each other you do multiplication and you have answer

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