Question 1081664: two fishing boats, A, and B, are anchored 4500 feet apart in open water. A plane flies at a constant speed in a straight path directly over the two boats, maintaining a constant altitude. At one point during the flight, the angle of depression to A is 85°, and the angle of depression to B is 25°. Ten seconds later the plane has passed over A and spots B at a 35° angle of depression. How fast is the plane flying?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! This really needs a figure, which I do not show here. There will be two triangles, sharing a diagonal. The top segment and bottom segment of the combined figure are parallel. Endpoints of the bottom segment are boats A and B. Endpoints of the top segment mark the places where angles of depression were measured. Time for movement given for that segment of distance was 10 seconds.
The distance in feet traveled during those 10 seconds was...
Not a complete solution; only the distance traveled in the 10 seconds time interval.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! two fishing boats, A, and B, are anchored 4500 feet apart in open water. A plane flies at a constant speed in a straight path directly over the two boats, maintaining a constant altitude. At one point during the flight, the angle of depression to A is 85°, and the angle of depression to B is 25°. Ten seconds later the plane has passed over A and spots B at a 35° angle of depression. How fast is the plane flying?
Distance traveled in 10 seconds: 1,444.275 feet
Therefore, plane’s speed = 
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