Height of a mountain When a mountaintop is viewed from the point P shown in the figure, th...

Height of a mountain When a mountaintop is viewed from the point P shown in the figure, the angle of elevation is α. From a point Q, which is d miles closer to the mountain, the angle of elevation increases to β.

(a) Show that the height h of the mountain is given by

(b) If d = 2 mi, α = 15°, and β = 20°, approximate the height of the mountain.

EXERCISE