the angles of elevation and the depression of the top and bottom of a light house from the top of a 60 m high building are 30* and 60* respectively. find

A) the diff. betn the hieght of the light house and building

B) the dist. betn he light house and the building.

Let AB be the building and CD be the light house.

Suppose the height of the light house be h m.

Given: AB = 60 m, ∠EAD = 30° and ∠CAE = 60°.

CE = AB = 60 m

∴ DE = CD – CE = (h – 60) m

In ΔEAD,

In ΔACE,

From (1) and (2), we get

∴ Difference between the height of light house and building = CD – AB = 80 m – 60 m = 20 m

Distance between the light house and building = BC = AE

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