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  • A man standing on the deck of a ship is 12 m above water level.He observes that the angle of elevation of the top of a cliff is 45 degree and the angle of depression of the base of the cliff is 30 degree.calculate the distance of the cliff from the ship a

A man standing on the deck of a ship is 12 m above water level.He observes that the angle of elevation of the top of a cliff is 45 degree and the angle of depression of the base of the cliff is 30 degree.calculate the distance of the cliff from the ship and the height of the cliff.(take ?3=1.732)

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In; figure; AC=ED=x ;and AE=CD=12;m\*height;of;cliff=BC+CD=y+z\* Now, ;in; riangle ABC,\* an 45^circ=fracyx=1Rightarrow y=x\* In; riangle ACD,\* an 30^circ=fraczx=frac1sqrt3Rightarrow x=sqrt3z\* Height;of;the; cliff=y+z=x+sqrt3x=(1+sqrt3)x\* x=sqrt3z=sqrt3 imes 12=20.784;m\* Height;of;the; cliff=(1+sqrt3) imes 20.784=20.784 imes 2.732\* Rightarrow Height;of;the;cliff;is; 22.516;m ;and ;distance;of;ship;from;cliff;is;x=20.784;m

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Deependra Verma

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