Question

I need help with this problem.

am having trouble solving this.

A rocket tracking station has two telescopes A and B placed 1.7 miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer after a rocket launch.

What is the distance to the rocket from telescope B at the moment when both tracking stations are directly east of the rocket telescope A reports an angle of elevation of 25 degrees and telescope B reports an angle of elevation of 60 degrees?

Answer 1

tan 60 = height /distance = h/d

so h = 1.73 d

tan 25 = h/(1.7 + d)

so

.466 (d+1.7) = 1.73 d

Answer 2

A surveyor wants to find the height of the top of a hill. He observes that the angles of elevation of the top of the hill at points C and D, 300m apart, lying on the base of the hill and on the same side of the hill are 30° and 45° respectively What is the height of the hill.