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A balloon is directly above one end of a bridge. The angle of depression of the other end of the bridge from the balloon is 48^ . If the height of the balloon above the bridge is 122 m , then what is the length of the bridge?

Options

  1. A122 48^ m
  2. B122 42^ m
  3. C122 48^ m
  4. D122 48^ m

Correct answer

A. 122 48^ m

Step-by-step solution

Let the bridge is BC and height above the bridge AB =122 ~m . From ABC , aligned & 48^ = BC AB = BC 122 & BC =122 (48^ ) &= 122 (90^ -42^ ) &= 122 42^ aligned

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