the angles of depression of two ships from the top of a light house are 45 and 30 towards east.if the ship some 100 m apart find the height of light house?

let the height of the light house be AB= h m.

let the ships be at point C and D such that CD= 100 m

and the angle of depression from the light house to the ships C and D are 45 deg and 30 deg respectively.

in the triangle ABC,

in the triangle ABD,

since B, C and D lie on the same horizontal level.

BD=BC+CD

rationalising the denominator we have,

thus the height of the light house is

hope this helps you.

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