Physics

The drawing shows a person looking at a building on top of which an antenna is mounted. The horizontal distance between the person's eyes and the building is 85.0 m. In part a the person is looking at the base of the antenna, and his line of sight makes an angle of 35.0° with the horizontal. In part b the person is looking at the top of the antenna, and his line of sight makes an angle of 38.0° with the horizontal. How tall is the antenna?

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  1. If the building's height is b, then
    tan35° = b/85
    Now, knowiong b, you can find the antenna's height a, using
    tan38° = (b+a)/85
    Or, I guess you could solve for a, giving
    a = 85(tan38° - tan35°)

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