## Measuring Mountains

#### Problem

A geographical surveyor places a marker at a position such that the angle between the horizontal and the top of a mountain is 45^{o}, after driving 1 km away from the mountain, the angle between the horizontal and the top of the mountain is 30^{o}.

Use the given information to find the height of the mountain.

Problem ID: 132 (Nov 2003) Difficulty: 2 Star