SOLUTION: A kite hovers 718m above one end of a bridge. The angle of depression of the other end of the bridge from the kite is 24�30'. How long is the bridge? (Round the answer to the near

Question 983870: A kite hovers 718m above one end of a bridge. The angle of depression of the other end of the bridge from the kite is 24�30'. How long is the bridge?
(Round the answer to the nearest meter.)
Thank you in advanced.
Found 2 solutions by swincher4391, solver91311:
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
If we set up a right trangle with angle of depression 24 degrees, 30 minutes, and the left leg of the triangle is 718m, and the other leg (the base of the triangle) is x. Then we have a trigonometric relationship of tangent. That is to say:
tan(24�30') = x / 718
718 * tan(24�30') = 327.2 m or rounded to the nearest meter:

The bridge is 327m long. <---- ANSWER
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

.

Notes: (1) Angle of depression FROM kite is the same as the angle of elevation TO the kite.

(2) Multiplying by the Cotangent is the same as dividing by the Tangent.

John

My calculator said it, I believe it, that settles it

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