SOLUTION: there are 2 poles that are 20 feet apart connected with a 32 foot wire.If the shorter pole is 11 feet tall and the angle of the elevation of the wire is 29, what is the height of t

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Question 1071057: there are 2 poles that are 20 feet apart connected with a 32 foot wire.If the shorter pole is 11 feet tall and the angle of the elevation of the wire is 29, what is the height of the taller pole to the nearest foot?
Answer by josgarithmetic(39620) About Me  (Show Source):
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Changes:
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There are 2 poles that are 20 feet apart, CONNECTED AT THEIR TOPS with a 32 foot wire. If the shorter pole is 11 feet tall and the angle of the elevation of the wire is 29 DEGREES, what is the height of the taller pole to the nearest foot?
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The three points of a right triangle are the top of the short pole, the top of the tall pole, that point on the tall pole horizontally distant from the top of the short pole.

Legs are the 20 foot distance between the two poles and the portion along the tall pole, y. Hypotenuse is the 32 foot wire.

cos%2829%29=20%2F32
--Needed?

Pythagorean Theorem formula should be sufficient for finding y, difference in height between short and tall poles.
y%5E2%2B20%5E2=32%5E2
y%5E2=32%5E2-20%5E2
y=sqrt%2832%5E2-20%5E2%29
y=sqrt%28624%29
y=sqrt%284%2A4%2A39%29
y=4sqrt%2839%29


How tall the TALL pole:
highlight%2811%2B4sqrt%2839%29%29
or whole number approximation, highlight%2836%2Afeet%29


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sine(29) could have been used instead of Pythagorean Theorem formula.
y%2F32=sin%2829%29
.
.