An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. How high is the airplane?
Accepted Solution
A:
see the attached figure to better understand the problem
we know that PB+BQ=1000 ft------->PB=1000-BQ------->Β equation 1
in the triangle PAB tan 50=AB/PB----------> AB=PB*tan 50------> equation 2
in the triangle ABQ tan 25=AB/BQ------> AB=BQ*tan 25-------> equation 3