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.
rationalising the denominator we have,
thus the height of the light house is
hope this helps you.