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

check the picture below.

you can check in your calculator, make sure your calculator is in Degree mode.

Answer 2

Ramp is 10.4 feet long.

Explanation:

Ramp AC is is making an angle of 15 with the ground BC.

The end C of the ramp is 10 feet from the base B of the building.

We have to find the length of ramp.

Let x feet is the length of the ramp.

Now Cos15° =
`(BC)/(AC)`

0.9659 =
`(10)/(x)`

x =
`(10)/(0.9659)`

x = 10.35 ≈ 10.4 feet

Therefore, ramp is 10.4 feet long.