The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°.

Answers

Answer 1

Complete question :

The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°How far is the point from the base of the tower.

Answer:

4.04 meters

Step-by-step explanation:

To obtain the distance between baso of tower and point P on the ground as shown in the solution diagram :

Using trigonometry :

Tan θ = Opposite / Adjacent

Tan 22° = x / 10

0.4040262 = x / 10

0.4040262 * 10 = x

x = 4.04

Hence, distance between base of tower and point P on the ground is 4.04 meters

The Tower Is 10.00 M Tall, And The Angle Of Depression From The Top Of The Tower To The Point On The

Related Questions

Find the next term in the sequence:
3/469, 9/469, 27/469, 81/469, ...

A. 243/469

B. 100/469

C. 27/156

D. 84/469

Answers

Answer:

A. 243/469

Step-by-step explanation:

Looking at the terms here, it seems that the this powers of 3 divided by 469.

3 is 3¹. 9 is 3². 27 is 3³. 81 is 3⁴.

Knowing that, then 3⁵/469 is the next term. 3⁵ is 243, so the next term is 243/469, which is A.

Mr. K was able to spot quite a few window washers on the skyscrapers there. He asked them how long it took to wash windows on such a building. They said that each person could wash 50 windows in 1 hour.
(How long would it take the 3 workers to wash all 1000 windows on one of the skyscrapers?)

Answers

Answer:

6.7 hours

Step-by-step explanation:

If one can do 50 then three can do 150.

So 1000÷150=6.66666666666

Hope this helps

find <ABC. Please help.​

Answers

Answer:

[tex]\angle\ ABC=70[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]

[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]

[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]

[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]

[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]

[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]

What is the measure of angle Y?

Answers

Answer:

what's the question

Step-by-step explanation:

is there a photo you can post we need more info

PLEASE HELP FAST AND PLEASE DON'T POST A LINK

Your parents are planning to rent you an apartment when you go to college. The annual contract is $535.00/month with a 2-month penalty for breaking the lease. The month-to-month contract is $615.00/month. What is the difference in the amount paid if you leave after 8 months?

Answers

Answer:

The difference in amount = $430

Step-by-step explanation:

1- Annual contract:

The annual contract means a contract for 12 months. There is a month penalty for breaking the lease.  

This means that, if you left after 8 months, you will have to pay for 10 month.

Total paid = monthly payment * 10

Total paid = 535 * 10 = $5350

2- Month-to-month contract:

You will only paid for the 8 months you stayed,

Total paid = monthly payment * 8

Total paid = 615 * 8 = $4920

3- Getting the difference:

We can note that a month-month contract is a better option if you intend to stay for only 8 months

Difference = 5350 - 4920 = $430

Hope this helps :)

The answer is $430 it’s correct I did and I got it right

A merchant made 15% profit by selling his goods for $92. How much did he pay for the goods?

Answers

Answer:

13.8 I believe is the answer

PLEASE HELP IF YOU WANT BRIANLEIST TY!! ^ ^

Answers

i think it’s rhombus and isosceles trapezoid. i’m so sorry if it’s wrong!

f(x)=-x^2+8x-14 using quadratic formula

Answers

Answer:

Were you looking for the x and y intercepts? The question is very misleading.

If you were the x intercepts are (4-√2,0), (4+√2,0)

And the y intercept is (0,−14)

If you did not mean this in your question please specify what you meant.

Answer:

[tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

Step-by-step explanation:

Plug in given values of a, b, and c into the quadratic formula and solve for x:

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x=\frac{-8±\sqrt{8^{2}-4(-1)(-14) } }{2(-1)}[/tex]

[tex]x=\frac{-8±\sqrt{64-56 } }{-2}[/tex]

[tex]x=\frac{-8±\sqrt{8} }{-2}[/tex]

[tex]x=\frac{-8±2\sqrt{2} }{-2}[/tex]

[tex]x=4±-\sqrt{2}[/tex]

Therefore, the roots are [tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

You mix 1/3 cups of blue paint for every 2/3 cup of yellow paint to make green paint. You use 4 cups of yellow pant. How much blue paint do you use?

Answers

Answer:

You use 2 cups of blue paint.

Step-by-step explanation:

In this case, you can use a rule of three to find the amount of blue paint you need when you use 4 cups of yellow paint given that you mix 1/3 cups of blue paint for every 2/3 cup of yellow paint:

2/3 cup of yellow paint    →    1/3 cups of blue paint

4 cups of yellow paint    →                 x

x=(4*1/3)÷2/3

x=4/3÷2/3

x=4*3/3*2

x=12/6

x=2

According to this, the answer is that you use 2 cups of blue paint.

If (x + 8) = 10, determine the value of x.

Answers

Answer:

(x+8)= 10 so 8 subtracted from 8 is zero and 8 subtracted from 10 is 2 so the

the answer is 2

A blouse originally $29..99 is 15% off. Marlene has a coupon for an additional
20% percent off. What is the new price of the blouse before tax?

Answers

Answer:

20.39

Step-by-step explanation:

15% of 29.99 is 4.4985

so

29.99-4.5

=

25.49

subtract the 20%

20% of 25.49

=

5.1

lastly,

25.49-5.1

=

20.39

Point P is plotted on the coordinate grid. If point S is 10 units above point P, what are the coordinates of point S?

On a coordinate grid from negative 12 to positive 12 in increments of 2, a line PQ is drawn with P plotted at the ordered pair 6, negative 4.
(1 point)

1. (−4, −4)
2. (−4, 6)
3. (6, 6)
4. (6, −4)

will give best and tanks

Answers

Step-by-step explanation:

(−4, −4)

2. (−4, 6)

3. (6, 6)

4. (6, −4)

The area of a parallelogram can be found by the equation area = (b)(h)

Find the height of a parallelogram that has an area of 10
1
2
in² and a base of
3
4
in.

The height of the parallelogram is
inches.

Answers

Answer:

14

Step-by-step explanation:

Answer:

answer: 14

Step-by-step explanation:

got it right

Which is the slope of the line that passes through the points (2,-2) and (8,6)?

Answers

Answer:

y = 4/3x - 14/3

Step-by-step explanation:

y2 - y1/ x2 - x1

6 - (-2) / 8 - 2

4/3

y = 4/3x + b

-2 = 4/3(2) + b

-2 = 8/3 + b

-14/3 = b

20 ounce bag of pretzels to a party if each person at the party ate 1/5 of the bag how many ounces of pretzels in each person eat

Answers

Answer:

20/5 = 4

Step-by-step explanation:

since each person will get 1/5 of the original 20 ounces, you would divide the pretzels into 5 equal portions of 4.

HELP PLEASE 24 POINTS

Answers

Answer:

sdfghhhj

Step-by-step explanation:

ther is no qustions

Answer:

Nothing there.

Step-by-step explanation:

Please add a photo of the equation or something.

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

A the distribution will be skewed to the right
Answer: A







Ndndnjcxbcn

simplify 10^7*10^5 Thank you

Answers

Answer:

1000000000000 is the answer.

Step-by-step explanation:

you would raise 10 to the power of 12 so the answer would be 1000000000000

Find the area of the figure.

Answers

Answer:

89m ^2

Step-by-step explanation:

purple 8x13 = 104

triangle 1/2(5)(6) = 15

104-15 = 89

there are 12 erasers packaged in 3 boxes how many erasers are packaged in 4 boxes

Answers

48.....
.........................

Answer: 16

Step-by-step explanation:

Pls help
Pls help
Pls help

Answers

Answer:

[tex]153\ in^2[/tex]

Step-by-step explanation:

1. Approach

Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.

2. Area of the trapezoid

The first figure is a trapezoid, calculate its area by using the following formula,

[tex]A_t= \frac{b_1+b_2}{2}(h)[/tex]

Where parameters ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the base of the trapezoid, and ([tex]h[/tex]) represents the height. Substitute in the given values and solve.

[tex]A_t = \frac{16 + 5}{2}(10)[/tex]

Simplify,

[tex]=\frac{21}{2}(10)[/tex]

[tex]=10.5(10)[/tex]

[tex]=105[/tex]

3. Area of the rectangle

The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,

[tex]A_r =(b)(h)[/tex]

Where ([tex]b[/tex]) represents the base of the figure, and ([tex]h[/tex]) represents the height of the figure. Substitute in the values for the given parameters and solve,

[tex]A_r=(16)(3)[/tex]

Simplify,

[tex]=48[/tex]

4. Find the total area

Now add up the values for the area of each figure. The result will be the total area of the figure,

[tex]A_t + A_r = A[/tex]

Substitute,

[tex]105 + 48 = A[/tex]

Simplify,

[tex]153 = A[/tex]

Throwback
THURSDAY
-8 + (-1)=
2 - 7 =
(-8)(-2) =
-42= -7 =

Answers

-8+ -1 equals -9
2-7= -5
-8 x -2 equals 16

Answer:

-8+(-1)=-9

2-7=-5

(-8)(-2)=16

-42=-7=false

Step-by-step explanation:

Can someone please explain how to do this thanks. I have a test tomorrow:/

Answers

-3(-4)^2(2)+ 4(-4)
So you’re replacing the x and y with those numbers and then using PEMDAS to answer.
Hope this helps:)

Select all the statements that are true about JKL and LMN.

Answers

Answer:

There is nothing here

Step-by-step explanation:

Answer:

Step-by-step explanation:

a , b & c

Six apples and one pear cost $1.07. At the same price, three apples and six pears cost $1.47. An apple costs

Answers

Answer: [tex]\$0.15[/tex]

Step-by-step explanation:

Given

Six apples and one pear cost [tex]\$1.07[/tex]

Also, three apples and six pears costs [tex]\$1.47[/tex]

Suppose [tex]x[/tex] and [tex]y[/tex] be the price of apple and pear. So, we can write the cost as

[tex]\Rightarrow 6x+y=1.07\quad \ldots(i)\\\Rightarrow 3x+6y=1.47\quad \ldots(ii)\\\text{solve (i) and (ii) we get}[/tex]

[tex]x=0.15,\ y=0.17[/tex]

The cost of an apple is [tex]\$0.15[/tex]

If f(x)= 9x^2+2x-3, find f(-1).

Answers

Answer:

f(-1)= 4

Step-by-step explanation:

Just plug -1 into all Xs

and split it into 2 seperate problems for the time being

[9 times (-1)^2] + [2(-1)-3]

-1 squared is positive 1  times the 9 is just 9

Plus  2 times -1 is -2 minus 3 is -5

combine the two seperate problems you have

9-5 the subtract and

f(-1)= 4

Find the area of this triangle. Round to the nearest whole number.

Answers

Answer:

35

Step-by-step explanation:

Area of a triangle= B*H/2 so 14*5/2=35

Answer:

35

Step-by-step explanation:

I took the quiz

Abe plans to lay tiles on the areas shown. A case of tiles costs $40 and covers 15 square feet. How much does Abe need to budget for the tiles?



$360

$400

$440

$480



NO LINKS!!!

Answers

$440

152/15 x 40 ≈ 401

Find the value of AB.
D
10
6
А
E
В
AB = [?]

Answers

Answer:

AB= 16❤

Step-by-step explanation:

OB= 10

EB²+6²= 10²

EB²= 64

EB=8

2×8=16

The length of line AB in the intersecting chords is determined as 16 units.

What is the length of AB?

The length of line AB is calculated by applying intersecting chord theorem as follows;

The radius of the circle = 10

Applying Pythagorean theorem as follows;

EB² + 6²= r²

where;

r is the radius of the circle = 10

EB² + 6²= 10²

EB² = 10² - 6²

EB² = 100 - 36

EB²= 64

EB = √ 64

EB = 8

Since EB is the half of length AB, then the value of the length AB is calculated as;

AB = 2 x 8

AB = 16 units

Learn more about intersecting chords here: https://brainly.com/question/13950364

#SPJ2

Is (2, 4) a solution to this system of inequalities?

y < 8x + 8
y ≥ x + 1

Answers

Answer:

yes

Step-by-step explanation:

4<8*2+8

4<16+8

4<24

4 ≥2+1

4 ≥3

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