From the top of a light house, the angles of depression of two ships on the opposite sides of its are observed to be `alphaa n dbeta` . If the height of the light house be h metres and the line joining the ships passes through the foot of the light house, show that the distance between the ship is `(h(tanalpha+tanbeta)/(tanalphat a nbeta)`

Explanation

To solve the problem, we need to find the distance between two ships observed from the top of a lighthouse, given the angles of depression to the ships and the height of the lighthouse.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- Let the height of the lighthouse be \( h \) meters.
- Let \( A \) be the top of the lighthouse, \( B \) be the foot of the lighthouse, \( C \) be the position of the first ship, and \( D \) be the position of the second ship.
- The angles of depression to the ships from the top of the lighthouse are \( \alpha \) for ship \( C \) and \( \beta \) for ship \( D \).
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