Bob is driving along a straight and level road towards a mountain. At some point, he

Question

measures the angle of elevation to the top of the mountain and finds it to be 22.5 degrees. He
then drives 1 mile (5280 ft) and measures the angle of elevation to be 34.4 degrees. Find the
height of the mountain to the nearest tenth of a foot.

Thank you!

Answer 1

draw a side view. You can see that if the mountain has height h,
h cot22.5° - h cot33.4° = 5280