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bogdanovich [222]
3 years ago
13

A guy-wire is attached from the ground to the top of a pole for support. If the angle of elevation to the pole is 67° and the wi

re is attached to the ground at a point 137 feet from the base of the pole, what is the height of the pole (round to 2 decimal places)?
A)53.53 feetB)74.62 feetC)126.11 feetD)322.75 feet
Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0
You can solve this problem and calculate the height of the pole, by following the steps below:
 
 Tan(α)=Opposite leg/Adjacent leg
 
 α is the angle of elevation (α=<span>67°).
</span> The opposite leg is <span>the height of the pole. Let's call it "x".
</span> Adjacent leg=137 feet
 
 When you substitute these values into the formula Tan(α)=Opposite leg/Adjacent leg, you have:
 
 Tan(α)=Opposite leg/Adjacent leg
 Tan(67°)=x/137
 
 You must clear the "x"
 
 x=137xTan(67°)
 x=322.75
 
 W<span>hat is the height of the pole?</span> 
 
 The answer is: The height of the pole is 322.75 feet.
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