Chapter 6, Problem 27RE

Points $A,B,$ and $P$ are collinear points along a hillside. $A$ blimp located at point $Q$ is directly overhead point . Points $A$ and $B$ are $200\text{ yd}$ apart, and the angle of elevation (relative to the horizontal) from $B$ to the blimp is $48°$ . The angle of elevation from point $A$ farther down the hill to the blimp is $44°$ .

a. To the nearest yard, approximate the distance between point $A$ and the blimp and the distance between point $B$ and the blimp.

b. Find the exact height of the blimp relative to ground level (distance between $P$ and $Q$ ).

c. Approximate the height from part (b).