Dexter got a job as a surveyor. Using his transit he can find out angles. He is sent to find the height of a lighthouse sitting on the edge of a sheer cliff. He sets up the
transit 200 metres from the cliff bottom. The transit sits 1.5 metres above the
ground. When he sights (aims the transit) at the top of the lighthouse, he records an
angle of elevation of 52 degrees. When he sights the bottom of the lighthouse, he
records an angle of elevation of 45 degrees. How tall is the lighthouse to the nearest
metre?
5
52°
45°
1.5 m
455
mi
200 m