Question

The angle of Two ships from the top of a light house are 45° and 30° towards east .if the ships are 100m a part,the height of light house is

Answer 1

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.