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28.Two ships are sailing on opposite sides of a light house 150 m high and in the same line withthe foot of the light house. Find the distance between the ships when the angles of depres-sion of the ships are observed from the top of light house are 60°and 45° |
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Answer» AB= Height of lighthouse= 150mAt C and D there are two ships.Angle ADB = 45°therefore, tan45°=AB/BDAB=BDtherfore, BD=150mAngle ACB = 60°therefore, tan60°=AB/BC√3=150/BCBC = 150/√3BC = 50×√3= 86.6mTherfore distance between the ship isBC+BD=150+86.6=236.6m |
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