Dexter got a job as a surveyor. Using his transit he can find out angles. He is sent to grail find the height of a lighthouse g 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?
200 metres
256 metres