Problem
Julian wants to use a sheet of fiberboard 19 inches long to create a skateboard ramp with a \( 16^{\circ} \) angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
Solution
Step 1 ：Step 1: Convert the angle to radians: \( \alpha = \frac{16\pi}{180} \) radians
Step 2 ：Step 2: Calculate the height using sine: \( h = 19\sin{\alpha} \)
Step 3 ：Step 3: Round the height to the nearest tenth: \( h \approx 5.3 \) inches
