I 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?

This is as far as I got

a b
_____ = ______
sin25 sin60

2 answers

draw the figure. You have two angles, use one of the rocket scientists to figure the three interior angles of the triangle. (it wont take a rocket scientist).
Then, use the law of sines to figure the side you want from knowing the one side, its opposite angle eualling the unknown side to its opposite angle. In your answer, I assure you 60 degrees is not one of the interiour angles.
give up