SOLUTION: At distance x from the base of a building, the angle of elevation to top of the building is 19 degrees. The angle of elevation is 39 degrees if you walk 13 ft closer to the build

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Question 1136488: At distance x from the base of a building, the angle of elevation to top of the building is 19 degrees. The angle of elevation is 39 degrees if you walk 13 ft closer to the building. There is a 10 ft antenna on top of the building. Find the height from ground to the top of the antenna.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
If one draws this, tan 19=y/x and tan 39=y/(x-13), y being the building's height.
x tan 19=x tan 39-13 tan 39
x (tan19-tan 39)=-10.53
x(-0.4655)=-10.53
x=22.62'
y=7.79'
So the height to the top of the antenna is 17.79'