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the angle of depression of two ships from the top of light house are 45° and 30° towards east if the ships are 200m apart,find the height of the light house |
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Answer» Answer: LET A and B be given ships OC be the LIGHTHOUSE let hight of lighthouse = OC = H in triangle OAC we have tan 45 = OC/OA so OA = H ....(i) in triangle OBC tan 30 = OC/OB 1/root 3=H / OA+200 H+200= H root 3 [USING i] H (root 3-1) = 200 H= 200 /root 3-1 by rationalisation and simplefication ,we get H=100 (root 3+1) |
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