Posted by **Bob** on Tuesday, June 26, 2012 at 11:14pm.

From a point P on level ground, the angle of elevation of the top of a tower is 27°10'. From a point 23.0 meters closer to the tower and on the same line with P and the base of the tower, the angle of elevation of the top is 51°30'. Approximate the height of the tower. (Round your answer to the nearest tenth.)

- Trig -
**Steve**, Tuesday, June 26, 2012 at 11:32pm
If the height is h, and P is x m from the base,

h/x = tan 27°10' = .5132

h/(x-23) = tan 51°30' = 1.2572

rearranging things a bit,

h = .5132x = 1.2572(x-23)

x = 38.8651

so, h = 19.9456, or 19.9m

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