If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the sun to the nearest degree?

Question

Mathematics

America Burch

10 July, 16:08

If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the sun to the nearest degree?

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Answers (1)

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Cash · Answer 1

Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.

Setting up the right triangle we have the opposite and adjacent so we use tan.

tan angle = 28/32

tan^-1 (28/32) = 41 degrees