Question

Each half of a drawbridge is 284 feet long. When one half of the bridge is raised, the

vertical rise is 142 feet. What is the measure of the angle, marked with an x on the
image, formed by the bridge and the horizontal? Round your answer to the nearest
degree, and enter the number only.

Answer 1

Hello,

First, sin(x) = O/H
Next, sin(x) ->> x = sin^-1(O/H)
Last, x = sin^-1(142/284) = 30°
30° makes sense because this scenario of a drawbridge creates a 30-60-90 triangle.

Good luck to you! Any questions, ask away.