Question

from the top of a lighthouse ,an observer looking at a ship makes an angle of depression of 30° .If the height of the lighthouse is 90 meters then find how far the ship is from the lighthouse ?
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Answer 1

Answer:

155.7 meter

Explanation:

tan∅ = AB/BC

tan30° = 90/BC

1/√3 = 90/BC

BC/√3 = 90

BC = 90√3

BC. = 90 × 1.73

BC = 155.7 m

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so ship 155.7 meter far from the light house.