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navik [9.2K]
3 years ago
12

Does anyone know how to figure this out I forgot how

Mathematics
1 answer:
vovangra [49]3 years ago
6 0

Answer:

4

Step-by-step explanation:

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24. A flat roof rises at a 30° angle from the front wall of a storage shed to the back wall. The front wall is
katovenus [111]

Answer:

Length of the roof line is 17.4\ feet. And depth of the shed is 15.07\ feet

Step-by-step explanation:

Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at  30° angle from the front wall.

Let h be the length of the roof line. And b the depth of the shed.

We can see it is a right angle triangle with opposite 20.2-11.5=8.7\ feet (see the attachment)

Now,

sin(30)=\frac{Opposite}{Hypotenuse}\\ \\sin(30)=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}\\\\h=17.4\ feet

Also,

tan(30)=\frac{Opposite}{Adjacent}\\\\tan(30)=\frac{8.7}{b}\\\\b=\frac{8.7}{tan(30)}\\\\b=\frac{8.7}{0.577}\\\\b=15.07\ feet

So, Length of the roof line is 17.4\ feet. And depth of the shed is 15.07\ feet

3 0
3 years ago
Read 2 more answers
4000 + 12 343 x 2 =(A)
Vikentia [17]

Answer:

12,686

Step-by-step explanation:

add both numbers up then multiply by 2

7 0
3 years ago
Donovan is measuring the angles of a triangle. He uses the first two angles and gets 10° and 120° what should be the measurement
scoundrel [369]

Answer:

50°

Step-by-step explanation:

<u>The sum of a triangles' angles is 180°</u>

Now set up an equation:

180 - (10 + 120) = ___

180 - 130 = 50°

5 0
3 years ago
I WILL MARK BRAINIEST
shusha [124]

Answer:

x=65

Step-by-step explanation:

x+65=2x

-x        -x

----------------

65=x

<h2>Brainliest please</h2>
7 0
3 years ago
A ladder 5 feet long leans against a wall and makes an angle of 65% with the ground. a. Find, to the nearest tenth of a foot, th
SpyIntel [72]

Answer: 2.1 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the wall and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the wall represents the opposite side of the right angle triangle.

The distance, d from the bottom of the ladder to the base of the wall represents the adjacent side of the right angle triangle.

To determine the distance, d from the bottom of the ladder to the base of the wall, we would apply we would apply the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 65 = d/5

d = 5Cos 65 = 5 × 0.4226

d = 2.1 feet

7 0
3 years ago
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