Question

The incline of a skateboard ramp is 5.5 feet long .If the height of the ramp is 3 feet ,what is the angle of elevation that the ramp makes with the ground ?round to the nearest degree

Answer 1

The ramp makes a 33.06° or 33° angle with the ground.

Explanation:

Given: h = 5.5 ft

o = 3 ft

Let's call the angle as angle A

The ramp forms a right triangle. We can then use the concept of pythagorean theorem.

Since the angle of elevation is opposite the height of 3ft and hypotenuse is given as 5.5 ft then we can use sinA = opposite/hypotenuse

Solve:

sin A = 3ft/5.5ft

sin A = 0.5454

A = Arcsin 0.5454

A = 33.06°