math
posted by Sally on .
A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.

tan ( theta ) = 100 / 150 = 2 * 50 / ( 3 * 50 )
tan ( theta ) = 2 / 3
theta = tan ^  1 ( 2 / 3 )
theta = 33.69 °
theta = 34 ° ( to the nearest degree )
Remark :
tan ^  1 ( 2 / 3 )
is the inverse tangent function of 2 / 3