The len. of a shadow of a tree is 125 ft when the angle of elevation of the sun is 33 degrees. height of tree?

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The len. of a shadow of a tree is 125 ft when the angle of elevation of the sun is 33 degrees. height of tree?

another precalculus question not good at logarithms

2007-04-03 06:49:59 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

Draw a right triangle. The leg along the bottom is the shadow, the leg going upwards is the tree.

The angle from the tip of the shadow to the top of the tree is 33 degrees. You want to know the height of the tree, which is X.

tan 33 = x/125

solve for x.

By the way, this is Trigonometry, not Logarithms.

2007-04-03 07:06:10 · answer #1 · answered by Mathematica 7 · 0⤊ 0⤋

tanÎ¸ = y / x

tan33 = y / 125

125(0.649407593) = y

81.17594915 = y

81.2 feet = y

The height of the tree is 81.2 feet

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2007-04-03 14:37:10 · answer #2 · answered by SAMUEL D 7 · 0⤊ 0⤋