Question

A ramp 19 ft long rises to a platform that is 14 ft off the ground. Find X, the angle of elevation of the ramp, Round your answer to the nearest tenth of a degree,

Answer 1

Using Pythagoras theorem

$\begin{gathered} \sin x\text{ = }\frac{opp}{hyp} \\ \sin x\text{ =}\frac{14ft}{19ft} \\ \sin x\text{ = 0.7368} \\ x\text{ = }\sin ^{-1}\text{ 0.7368} \\ x=47.46^0 \end{gathered}$

Hence the value of x = 47.5°