Respuesta :

A skateboarding ramp is 10 in. high and rises at an angle of 15​°-The base of the ramp is 37.3 inches long.

Step-by-step explanation:

Let x represent the length of base of ramp.

It is  given that a skateboarding ramp is 10 in high and it  rises at an angle of 15 degrees. We need to find the base of the skateboard.

The height of ramp, the base of ramp and angle of elevation make a right triangle with ground, where, 10 inch is opposite side and base of ramp is adjacent side of angle of elevation.

we Know that

tan=opposite/adjacent

tan(15​°)=10/x

x=10/tan(15​°)

x=10/0.267949192

x=37.32

Therefore, the base of ramp is 37.3 inches long.

abidemiokin

The length of the base to the nearest inch is 37 inches

Angle of elevation and depression

Given the following parameters from the questions:

Height of the ramp = 10in

angle of elevation = 15degrees

Using the SOH CAH TOA identity

tan 15 = opp/adj

tan 15 = 10/B

B = 10/tan15
B = 10/0.2679

B = 37 inches

Hence the length of the base to the nearest inch is 37 inches

Learn more on elevation and depression here: https://brainly.com/question/2096694

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