Question

5 points

Answer 1

The angle of inclination of the ramp is 4.76 degrees.

What is a right-angle triangle?

A right-angled triangle is a type of triangle that has an angle that is equal to 90°. It has a hypotenuse (which is usually the longest side, the opposite facing the hypotenuse, and the adjacent (which is called the baseline).

From the parameters given:

• The horizontal length is the adjacent = 18 feet
• The vertical length is the opposite = 1.5 feet

We can determine the angle of inclination by using the tangential trigonometric function.

$\mathbf{Tan \ \theta = \dfrac{opp}{adj}}$

$\mathbf{Tan \ \theta = \dfrac{1.5}{18 }}$

$\mathbf{Tan \ \theta =0.0833}$

θ = tan ⁻¹(0.0833)

θ = 4.76 degrees

Learn more about triangles here:

brainly.com/question/2938476

Answer 2

The angle of incline of the ramp is 4.76 degrees

Trigonometric ratio

Trigonometric ratios is used to show the relationship between the sides and angles of a right angled triangle.

The ramp has the shape of a right angled triangle. Let θ represent the angle of incline of the ramp, using trigonometric ratios:

tan(θ) = 1.5 / 18

θ = 4.76 degrees

The angle of incline of the ramp is 4.76 degrees

Find out more on trigonometric ratio at: brainly.com/question/1201366