Question

The tailgate of the truck is 3 feet above the ground. The incline of a ramp used for loading the truck is 15° find the nearest tenth of a foot, the length of the ramp

Answer 1

Answer:

11.2 feet

Step-by-step explanation:

Draw a triangle to represent the problem. (See the one attached.)

The sides involved in this problem are the opposite and adjacent to the given angle, so we need to use the tangent ratio.

To find the length of the ramp, we need to find the tangent of angle 15.

tanx = opp/adj

tan15 = 3/x

Multiply by x on both sides:

x(tan15) = (3/x)x

x(tan15) = 3

Divide by tan15 on both sides:

x(tan15) = 3

/tan15      /tan15

x = 3/tan15

Divide tan15 from 3 using a calculator:

x ≈ 11.2