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April 19, 2015

April 19, 2015

Posted by **Vanessa** on Tuesday, October 18, 2011 at 1:29am.

The captain measures the the angle of elevation to the top of the lighthouse to be 21.

How far is the ship from the base of the lighthouse?

- trigonometry -
**drwls**, Tuesday, October 18, 2011 at 1:57amAssuming a flat Earth, it is given by

H/X = tan 21 = 0.3839

where H = 260 feet and X is the distance to the lighthouse

So X = 677 feet

Too close for comfort.

The curvature of the Earth is negligible over such a short distance.

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