d) The shadow of a vertical tower on a level ground increases by 10m, when the altitude of sum changes from angle of elevation 45° to 30°. Find the height of the towe correct to one place of decimal. (Take root 3 = 1.732)​




Help As soon as possible please with picture please

Answers

Answer 1

Answer:

Below.

Step-by-step explanation:

I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.

Tan 30 = h/ (x + 10)

tan 45 = h/x        where h is the height of the tower.

From the second equation  x = h / tan45

Substituting in the first equation;

tan30 = h / (h/tan45 + 10

Tan 30 = 1/ √3 and tan 45 = 1 so

1/ 1.732 = h/ (h + 10)

0.5774 = h/(h + 10)

h = 0.5774h + 57.74

0.4226 h = 57.74

h = 136.6 m to nearest tenth.


Related Questions

Hannah has a square plat of grass in her backyard. Each side of the plot has a length of 13 feet. On one side, semicircular fountain with a radius of feet cuts into the plot of grass. She wants to put a brick border around the edge of the grass, so that it also separate the grass from the fountain. How many feet of brick will she need? Round to the nearest whole number.
A. 50
B.48
C.58
D.55

Answers

Here we just want to find the perimeter of the image below.

We will find that the correct option is D.

The perimeter will be equal to:

The perimeter of a square of side length of 13 ft, minus 5 ft (the diameter of the circle), plus half the perimeter of a circle of diameter 5ft.

Remember that for a square of side length L, the perimeter is:

P = 4×L

For a circle of diameter D, the perimeter is:

P = 3.14*D

Then the perimeter of the square of side length of 13ft is:

P = 4×13ft = 52ft

The perimeter of the half-circle of diameter 5ft will be:

P' = 3.14×5ft/2 = 7.85ft

Then, the perimeter of the whole figure is:

perimeter = 52ft - 5ft +  7.85ft = 54.85ft

Rounding to the nearest whole number, we get:

54.85ft ≈ 55ft

The correct option is D.

If you want to learn more, you can read:

https://brainly.com/question/24367392

12. Willie rented a bike from Sarawong's Bikes. It cost $18 plus $5 per hour. Il Willie paid $63 then he rented the bike for how many hours? WILL NEED WORK DONE AND WILL GIVE BRAINLIEST​

Answers

9 hours is the correct answer
9 x 5 = 45
45 + 18 = 63

Answer:

9 hours

Step-by-step explanation:

Let the number of hours is x.

Set up an equation and solve for x:

5x + 18 = 635x = 63 - 185x = 45x = 45/5x = 9

4n² + 3n +5 and 2n²+3​

Answers

Answer:

6n^2+3n+8

Step-by-step explanation:

simplify like terms. keep the exponent the same degree it started as

(10-1)(10-2)(10-3)(10-10)

Answers

Answer:

0

Step-by-step explanation:

(10-1=9)(10-2=8)(10-3=7)(10-10=0)

9*8*7*0=0

Can someone plz help me?

Answers

Answer:

Its D

Step-by-step explanation:

i just guessed! but i think its D!<3

Yes, D is the correct answer.
S=a*b
5/8=1/6 *b /(1/6)
b = 5/8 : 1/6

4z - 15 = 4z + 11
How do you solve this?

Answers

Answer:

no solutions

Step-by-step explanation:

4z - 15 = 4z+11

Subtract 4z from each side

4z-15-4z = 4z+11-4z

-15 = 11

This is not a true statement so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

4z-15=4z+11  Subtract 4z from both sides.

-4z      -4z

-15=11             This statement is not true; therefore, there are no solutions.

Hope this helps you out! Have a wonderful day (。・∀・)ノ゙

Simplify each expression.
1. 92

Answers

Answer: 81

Concept:

When a number is being squared, to being put to any power, it means the number multiplies itself by the amount of times indicated by the exponent.

For example, if 3 is to the 3rd power, then it would appear to be 3 × 3 × 3.

Solve:

Given

Simplify exponents

=9 × 9

Simplify by multiplication

=[tex]\boxed{81}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

HELP ILL GIVE BRAINLIEST PLS QUICK

Answers

Answer:

Y =2X +2

y = 2(13) + 3

y = 29 after 13 months

Step-by-step explanation:

x1 y1  x2 y2

0 2  2 6

   

(Y2-Y1) (6)-(2)=   4  ΔY 4

(X2-X1) (2)-(0)=    2  ΔX 2

   

slope= 2          

B= 2          

   

Y =2X +2    

Solve for x please will mark brainliest

Answers

Answer:

y = 9

Step-by-step explanation:

if you want to find the value of y then

4y + 6y = 90 (it's right angle triangle)

10 y = 90

y = 90/10

y = 9

Answer:

y = 9

Step-by-step explanation:

6y + 4y = 90

10y = 90

y = 9

Please help!



Thank you!!!

Answers

[tex] \frac{1}{6} = 0.166...[/tex]

[tex] \frac{2}{6} = 0.33...[/tex]

[tex] \frac{3}{6} = 0.5[/tex]

[tex] \frac{4}{6} = 0.66...[/tex]

[tex] \frac{5}{6} = 0.66...[/tex]

[tex] \frac{6}{6} = 1[/tex]

helppppp meeeeeeee pleeaaaaasseee​

Answers

a. (1,0)
b. (5,0)
Ordered pair just means you list the x value, y value. In this case, there is only a x value, and there is no movement on the y axis at all. So, if there is just a x, then y is 0. Similarly, if you have only a y, then x would be 0.

RS=3y+5, ST=2y+9, RT=54. what is the value of y?

Answers

Answer:

56

Step-by-step explanation:

show your work

Emma jogs 2 miles along the beach in 1/3 of an hour. If she travels at a constant rate, how far will she jog in an hour?

Answers

Answer:

6

Step-by-step explanation:

you do 2 times 3 because you 2 miles is only 1/3 and you want do get the answer for an hour so 2/3 is 6

Answer:

6 miles

Step-by-step explanation:

If emma jogs at a constant rate she will travel 6 miles in 1 hour.

1/3 of an hour times 3 equals 1 hour and the 2 miles every 1/3 times 3 will be 6

hope it helps

What is the coordinate of the midpoint of GO¯¯¯¯¯¯¯¯?

Answers

Step-by-step explanation:

I dunno what your question ask,and I think maybe you want the formula?

Solve for x Round your answer to the newer hundredth.
11.22x - 200 < 347.96
(9th grade Algebra 1)

Answers

X< 48.84

The first answer

find the coordinates of the points of intersection of the line 2x+3y+2=0 with the curve 2xy=-1

no spam plz fast

Answers

Make y the subject of the curve equation
y = -1/(2x)
Substitute for y in the line equation
2x +3(-1/2x) + 2 = 0
Multiply every term by 2x
4x^2 - 3 + 4x = 0
4x^2 + 4x - 3 = 0
(2x - 1)(2x + 3) = 0
If 2x - 1 = 0 then
2x = 1
x = 1/2
y = -1/(2 x 1/2) = -1

If 2x + 3 = 0 then
2x = -3
x = -1.5
y = -1/(2 x -1.5) = -1/3

The points of intersection are (1/2, -1) and (-1.5, -1/3)

Sorry about the mixture of fractions and decimals ;)

The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of lines are,

⇒ 2x + 3y + 2 = 0

⇒ 2xy = - 1

Now,

Since, The equation of lines are,

⇒ 2x + 3y + 2 = 0  ..(i)

⇒ 2xy = - 1   ..(ii)

From (ii);

⇒ 2xy = - 1

⇒ x = - 1/2y

Put above value in (i), we get;

⇒ 2 × - 1/2y + 3y + 2 = 0

⇒ - 1/y + 3y + 2 = 0

⇒ - 1 + 3y² + 2y = 0

⇒ 3y² + 2y - 1 = 0

⇒ 3y² + 3y - y - 1 = 0

⇒ 3y (y + 1) - 1 (y + 1) = 0

⇒ (3y - 1) (y + 1) = 0

⇒ y = 1/3

And, y = - 1

So, The value of x is,

⇒ x = - 1/2y

⇒ x = - 1/2 × - 1

⇒ x = 1/2

And, x = - 1/2 × 1/3

⇒ x = 1/6

Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)

Learn more about the substitute method visit:

https://brainly.com/question/26094713

#SPJ2

<3 and <4 are supplementary angles. Given m<3 = 56°, find m<4.

Answers

m<3=56°m<4=?

Both are supplementary angles.

[tex]\\ \rm{:}\twoheadrightarrow m<3+m<4=180[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 56+x=180[/tex]

[tex]\\ \rm{:}\twoheadrightarrow x=180-56[/tex]

[tex]\\ \rm{:}\twoheadrightarrow x=124[/tex]

0.11616.......
How do I write 0.116 w/ repeating 16 as a simplified fraction,...

Please show work (or provide explanation)

Answers

23/198 that is the simplified version

state two similarities and one difference between the graphs of f(x)=3^x and g(x) = (1/3)^x

Answers

Answer:

i have the sam

Step-by-step explanation:

s

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x + 2y = -18
Answer:
Submit Answer
attestato
PLSSS HELP ASAP

Answers

98! suwjsjskksnsjsjsjsjsnsnsnsnsnsnnsnnsnsnsnsnsnsnsnsnsnsn

what is the solution to 6x-(3-1)=2

Answers

Answer:

x= 2/3

Step-by-step explanation:

So, uh- First you subtract the numbers

6x-(3-1)=2

6x-(2)=2

Then you multiply the numbers

6x-1 ⋅ 2= 2

6x-2=2

(Rest of the steps:)

add 2 to both sides of teh equation

simplify

divide both sides of the equation by the same term

the simplify :V

Then you have yer answer....

sry, I am new to this :\

pls ans this q/a pls fast...
no spamming step by step ans
pls dont ans who answer already​

Answers

Answer:

figure 1, 2 respectively

62.5 Answer


What negative numbers are not integers?

Answers

Answer:

Step-by-step explanation:

Need help ASAP if u help I will give u more points

Answers

Answer:

1/5 or 20%

Step-by-step explanation:

Number of red = 12

Total number = 12 + 14 + 34 = 60

Relative frequency if red:

12/60 = 1/5 or 20%

Total tokens

12+14+3460

P(red)

12/601/520%

Please help me I will give brainliest!

Answers

60,20,,30 is the answer

show me step by step : 22.04 x 9 =

Answers

Answer:

the answer is 198.36

Step-by-step explanation:

i dont know lol sorry

6/12 divided by 1/4

Answers

Answer:

the answer is 2

Step-by-step explanation:

hope it helps

Answer:

2

Step-by-step explanation:

according to my calculator

You are graphing rectangle ABCD in the coordinate plane. The following are three of the vertices of the
rectangle: A(3,5), B(3,-4), and C(-2,-4).
What are the coordinates of point D?

Answers

Answer:

(-3,-5)

Step-by-step explanation:

The answer is (-3,-5)

Answer:

-2,5

Step-by-step explanation:

from coordinates A and B we see the length so the width must be A and D

A city has a population of 240000 people. Suppose that each year the population grows by 5%. What will the population be after 8 years?

Answers

240000 * 1.05^8 = 354589

Answer:

354,589 people.

Step-by-step explanation:

Each year the population is 105% times the previous year.

105% = 1.05.

so in 8 years population will be:

240000*(1.05)^8

= 354,589.

using the segment addition postulate find the length of segment EF

Answers

Answer:

26

Step-by-step explanation:

DE+EF=DF

Subsitue thise x values for DE,  and DF

12+x=38

=26

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