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2 years ago

Hey can you please give me the answer to this?

Mathematics

1 answer:

Olegator [25]2 years ago

5 0

The height of the tower is 452.66 ft

<h3>What is angle of elevation and depression?</h3>

The angle formed by the line of sight and the horizontal plane for an object above the horizontal.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.

Given:

we have two angles one of which is angle of elevation and another angle depression.

Using trigonometric ratio,

tan ∅ = P / B

tan 32° = h / 425

0.624= h /425

h= 265.569 ft

again,

tan 29° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 29°

h(bottom of the tower) = 235.581 ft

Thus, Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 265.569 + 235.581

Height of tower = 501.15 ft

Learn more about this concept here:

brainly.com/question/20890484

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Venus and Serena measured a tennis court and found that it was 42ft longer than it was wide and had a perimeter of 228ft. What w

mr_godi [17]

Answer:

length = 78 feet

width = 36 feet

Step-by-step explanation:

Using one variable and an expression, you can set up an equation equal to the perimeter to find the measure of each side:

width = 'w'

length = '42ft longer than it was wide' = w + 42

The general formula for the perimeter of a rectangle:

P = 2w + 2l

Plugging in the given values and variables:

228 = 2w + 2(w + 42)

Distribute: 228 = 2w + 2w + 84

Combine like terms: 144 = 4w

Divide and solve: 36 = w

w = 36 ft

l = 36 + 42 = 78 ft

8 0

3 years ago

Can u guys please help me

elena-s [515]

1a. The equation is x-35+x+5+x

5 0

3 years ago

The volume of a sphere is 500 3 πcm3. What is the radius? Sphere V = 4 3 πr3 1. Substitute value into formula: 500 3 π = 4 3 πr

Kisachek [45]

Answer:

Radius of the sphere is 5m.

Step-by-step explanation:

We have given the volume of sphere $\frac{500}{3}\cdot {\pi}m^3$

we have to find the radius of the sphere

$\text{volume of sphere is }=\frac{4}{3}\cdot {\pi}\cdot r^3$

On substituting the given value of volume of sphere we get

$\frac{500}{3}\cdot {\pi}=\frac{4}{3}\cdot {\pi}\cdot r^3$

After simplification we get:

$\Rightarrow 4\cdot r^3=500$

$\Rightarrow r^3=125$

$\Rightarrow r=5$

Hence, the radius of sphere is 5m

7 0

3 years ago

Read 2 more answers

Mason, a hardwood flooring installer, needs to calculate the amount of hardwood flooring needed to cover a floor that's 33⁄4 yar

Aleksandr-060686 [28]

Answer:

20 5/8 yd^2

Step-by-step explanation:

width = 3 3/4 yd

length = 5 1/2 yd

First change both measurements to fractions.

3 3/4 = 3 + 3/4 = 12/4 + 3/4 = 15/4

5 1/2 = 5 + 1/2 = 10/2 + 1/2 = 11/2

area = length * width

area = 15/4 yd * 11/2 yd

area = (15 * 11)/(4 * 2) yd^2

area = 165/8 yd^2

165/8 = 20 remainder 5

area = 20 5/8 yd^2

3 0

3 years ago

Can someone please help me with this!!

Aloiza [94]

Answer:

$407 yd^{2}$

Step-by-step explanation:

first find the area of the rectangle, which would be $16*13 = 208$ yd²

then find the arc length of the sector, which is about 30.6yd

use the arc length to find the area of the sector, which is about 199.09yd²

add together the area of the rectangle and sector:

199.09 + 208 ≈ 407

8 0

3 years ago