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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