A 12-foot tree casts a 22-foot shadow. Find the angle of elevation from the tip of the shadow to the top of the tree. Round the answer to the nearest tenth.

Question

Leonidas Sawyer

Mathematics

12 December, 07:37

A 12-foot tree casts a 22-foot shadow. Find the angle of elevation from the tip of the shadow to the top of the tree. Round the answer to the nearest tenth.

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Dusty · Answer 1

The angle of elevation from the tip of the shadow to the top of the tree is one of the acute angles of the right triangle. The 22-ft shadow is the length of the adjacent side of the angle and 12-ft tree the opposite side. The angle asked for in the problem is the arctan of 12-ft divided by 22-ft. Thus, the angle of elevation is 28.61 degrees.