Q1: Part A Ron wants to build a ramp with a length of 14 ft and an angle of elevation of 26°. The height of the ramp is about feet. Note: Round your answer to the nearest tenth. Part B The length of the base of the ramp is about feet. Note: Round your answer to the nearest tenth.

Answer: The height of the ramp is about 6.1 feet.

The length of the base of the ramp is about 12.6 feet.

Step-by-step explanation:

A right angle triangle is formed by the length of the ramp, its height and the angle of elevation.

The height of the ramp represents the hypotenuse of the right angle triangle. The height of the ramp, h represents the opposite side of the right angle triangle. The length of the base of the ramp, b represents the adjacent side of the right angle triangle.

To determine h, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 26 = h/14

h = 14Sin26 = 14 * 0.4384

h = 6.1 feet

To determine b, we would apply

the Cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 26 = b/14

b = 14Cos26 = 14 * 0.8988

b = 12.6 feet