A hiker that is 6 feet tall is standing on top of mountain, looking down at an angle of depression of 12 degrees...

Question

to a person at the bottom who is 300 feet from the base of the mountain. How tall is the mountain?

Answer 1

Draw and label a diagram!

h represents the height of the mountain

tan 12° = (6 + h) / 300

0.212556561 ≈ (6 + h) / 300

63.7669685 ≈ 6 + h

57.7669695 ≈ h