Problema Solution

.A person whose eye level is 5 feet above the ground looks up at the top of a tree 45 feet away. He spots the top of the tree at an angle of elevation 15° (this is from eye level). How tall is the tree? Round your answer to the nearest tenth.

Answer provided by our tutors

let h = the height of the tree


sin 15 = (h - 5)/45


by solving we find


h = 16.6 ft


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the tree is 16.6 feet high.