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

38.6 feet to the nearest tenth.

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

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)=(10)/(L)`

`L=(10)/(cos15)=10.35 feet`