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. 10.3 feet 10.4 feet 13.2 feet 38.6 feet?

Question

Makenna Collier

Mathematics

1 November, 04:33

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. 10.3 feet 10.4 feet 13.2 feet 38.6 feet?

+2

Answers (2)

Know the Answer?

Curtis Miles · Answer 1

B. 10.4 feet

Maximillian Tucker · Answer 2

the length of the ramp is 10.4 feet

Step-by-step explanation:

From the diagram, we see that we have angle and an adjacent side. We want to calculate the hypotenuse l. We do this by using the cosine relation. Therefore,

cos (Ф) = d / l

where

Ф is the angle of elevation d is the distance that the end of the ramp is from the base of the building

Thus,

cos (15°) = 10 ft / l

l = 10 ft / cos (15°)

l = 10.35 ft

This rounded off to the nearest tenth is

l = 10.4 feet

Therefore, the length of the ramp is 10.4 feet