Question

A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the length of the guy wire

Answer 1

the first step is to picture it and draw it. drawing reduces the load on the brain

Answer 2

when you are relating two sideas and an angle, that means that we have to use one of the trigonometric relations.

we have the angle of elevation,
we have a side adjecent to the angle
and we want to compare with the hypotenuse.

what ratio can we use?

Answer 3

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Answer 4

Cosine?

Answer 5

good.
\[
\cos(65^\circ)=\frac{\rm adjecent}{\rm hypotenuse}
\]now, we plug in the numbers

Answer 6

\[\cos (65)=137/X ?\]

Answer 7

yep.
keep going

Answer 8

wait... how do you solve for x though?

Answer 9

you can get the value for cosine 65 from the calculator.

Answer 10

0.42

Answer 11

\[0.423={137\over x}\\
\text{multiply both sides by }x\\
0.423x=137\\
\text{divide both sides by 0.423}\\
??
\]

Answer 12

yep

Answer 13

326.19, Right?

Answer 14

bingo

Answer 15

may be you should take an extra digit
use 0.423 instead of 0.24

Answer 16

alright! thanks so much!

Answer 17

you are welcome