Question

A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building.

Approximately how long is the ramp? Round to the nearest tenth.

Answer 1

Answer:

38.6 feet to the nearest tenth.

Step-by-step explanation:

Use trigonometry of a right-angled triangle.

We use the sine function because we know the opposite side and we need the hypotenuse.

sin 15 = 10/ l  where l is the length of the ramp.

l = 10 / sin 15

l =  38.637 feet.

Answer 2

Answer:10.35

Step-by-step explanation:

Given

Ramp leading into a building makes a 15 ^{\circ} with the ground

also end of the ramp is 10 feet from the base of the building

To find length of ramp we use trigonometry

let L be the length of the ramp

$cos(15)=\frac{10}{L}$

$L=\frac{10}{cos15}=10.35 feet$