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/(x23) = tan 51°30' = 1.2572
rearranging things a bit,
h = .5132x = 1.2572(x23)
x = 38.8651
so, h = 19.9456, or 19.9m

Elevation  Victor, Saturday, May 21, 2016 at 11:05am
22.5[39/3m]
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