As shown in the figure below, a cable car carries passengers from a point A , which is 1.2 miles from a point B at the base of a mountain, to a point...

As shown in the figure below, a cable car carries passengers from a point A, which is 1.2 miles from a point B at the base of a mountain, to a point P at the top of the mountain. The angles of elevation of P from A and B are α=23°andβ=75°,respectively. (Round your answers to one decimal place.)

(a) Approximate the distance between A and P.(b) Approximate the height of the mountain.