Question

1. what is the angle of elevation of a ramp that is 4.3 - ft long and has a horizontal length of 4ft? 47.1° 21.5° 68.5°

Explanation:

Step1: Use the cosine function

In a right - triangle, \(\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to the angle \(x\) is \(4\) ft and the hypotenuse is \(4.3\) ft. So, \(\cos x = \frac{4}{4.3}\).

Step2: Solve for \(x\)

Take the inverse cosine of \(\frac{4}{4.3}\). \(x=\cos^{- 1}(\frac{4}{4.3})\).
Using a calculator, \(\frac{4}{4.3}\approx0.9302\), and \(\cos^{-1}(0.9302)\approx21.5^{\circ}\)

Answer:

\(21.5^{\circ}\)