Posted by Carter on Tuesday, April 6, 2010 at 8:58pm.
A passenger in an airplane flying at an alti
tude of 14 kilometers sees two towns directly
to the left of the plane. The angles of depres
sion to the towns are 30◦ and 52◦.
How far apart are the towns?
Answer in units of ft.

math  bobpursley, Tuesday, April 6, 2010 at 9:09pm
Angle of depression is not enough, what azimuth bearings are they at? Maybe you mean at the same bearing...
draw the figure, let x be the distance apart, h the height of plane, a the distance from the close town to just below airplane.
h/a=tan52
h/(x+a)=tan30
You know h.
first equation, solve for a.
Put that in the second equation, solve for x.
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