Posted by **christina** on Monday, April 4, 2011 at 1:04am.

An airplane over the pacific sights an atoll at 8 degree angle of depression. If the plane is 520hm above water, how many kilometers is it from a point 520 m directly above the center of the atoll?

Help please :]

- geometry -
**drwls**, Monday, April 4, 2011 at 1:39am
Assume the Earth is flat.

Draw a figure with flat horizontal Earth surface along the bottom. Put three points on the figure:

P (airplane)

A (atoll on the ground)

B (point 520 m above the atoll)

Draw the (right) triangle PAB. The angle at P is 8 degrees, aimed below horizontal to point A

It should be obvious that

BA = 520

PB = 520/tan 8 = 3700 m

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