An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1000 feet apart. As the airplane passes over the line

Question

An aircraft (at Z) is spotted by two observers (at X and Y) who are L=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. If A=25°, and B=45°, how high is the airplane?

The elevation of the plane is approximately feet.
(Do not round until the final answer. Then round to two decimal places as needed.)

Kunduz · Accepted Answer

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