If the vertical distances to the bottom and top of the antenna are a and b, then
a/81 = tan 36.7°
b/81 = tan 39°
the height of the antenna is b-a
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 L = 81.0 m. In part (a) the person is looking at the base of the antenna, and his line of sight makes an angle of èa = 36.7° 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 èb = 39° with the horizontal. How tall is the antenna?
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