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From the top of a tower of height 75 m, a man sees two goats, both due west of him. If the angles of depression of the two goats are 10° and 17°, calculate the distance between them.
Answer
The distance of the goat seen at an angle of depression 17 degrees from the tower is 75*tan (90-17) = 245.31 m and the distance of the other goat is 75*tan(90-10) = 425.346. The distance between them is approximately 425 - 245 = 180 m. The distance between the two goats is 180 m.
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