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Posted by on Tuesday, October 18, 2011 at 11:09am.

A television tower stands on the top of the building from point 83.7 feet from the base of the building the angles of elevator to the top and the base of the tower are 63.20 minutes and 38.51 minutes respectively. How tall is the tower?

  • trigo - , Tuesday, October 18, 2011 at 12:33pm

    Draw a diagram.
    height of building is b
    height of tower is h

    tan 63.20° = (b+h)/83.7
    tan 38.51° = b/83.7

    b = 83.7 * 0.796 = 66.6

    (66.6+h)/83.7 = 1.980
    h + 66.6 = 165.70
    h = 99.1 ft

    Hmmm. a 99ft tower on a 67ft building?

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