To measure a stone face carved on the side of a mountain, two sightings 407 feet from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 36 degrees and the angle of elevation to the top of the face is 67 degrees, what is the height of the stone face?

1 answer

review the definition of tan(x).
Draw a diagram. You will see that the height is

407 tan67° - 407 tan36°