A tree grows vertically on the side of a hill and casts a shadow of 12.2m down the hill when the angle of the sun is 35 degrees. The angle between the tree and it's shadow is 101 degrees.

Question

A tree grows vertically on the side of a hill and casts a shadow of 12.2m down the hill when the angle of the sun is 35 degrees. The angle between the tree and it's shadow is 101 degrees. 
Determine the height of the tree, to the nearest hundredth of a metre.

oobleck · Accepted Answer

Draw a diagram. Use the law of sines to find the height h, since h/sin24° = 12.2/sin55°