A golfer needs to know how tall a tree is to chip a ball over the tree onto the green in a golf match. his caddie knows that he is 10 feet from the tree and has an angle of elevation of 52°. what is the height of the tree to the nearest whole number?

Question

Carlie Crawford

Mathematics

18 June, 11:47

A golfer needs to know how tall a tree is to chip a ball over the tree onto the green in a golf match. his caddie knows that he is 10 feet from the tree and has an angle of elevation of 52°. what is the height of the tree to the nearest whole number?

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Answers (1)

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Kiara Keith · Answer 1

The height of the trre will be given by:

tan θ = (opposite) / (adjacent)

θ=52°

Adjacent = distance of the golfer to the tree = 10 ft

opposite = height, h, of the tree

thus

tan 52=h/10

hence solving for h we get:

h=10tan52

h=12.799~12.8 ft