# The Santa Cruz lighthouse casts a shadow 28 m long at 7 P.M. At the same time, the shadow of the lighthouse keeper, who is 1.75 m tall, is 3.5 m long. How tall is the lighthouse?

##### 1 Answer

Oct 21, 2017

14 m

#### Explanation:

Here the angle of depression is same for light house as well as light house keeper at 7 P.M.

Let the angle be

For the keeper, height is 1.75 m and shadow is 3.5 m away from him. Hence

Now for the light house, shadow i.e. base is 28m and

Hence, height= base x