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cailynrachael
16.10.2019 •
Mathematics
Aguy-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 (round to 2 decimal . a) 58.15 feet. b) 143.40 feet. c) 148.83 feet. d) 350.62 feet
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Ответ:
The correct option is 350.62 feets.
Step-by-step explanation:
Let the triangle Δ ABC
the length of wire = AC
Height of the pole = AB
Length between the point of attachment of wire from base of the pole = BC = 137 feets
Angle of elevation to the pole = θ = 67 °
According to trigonometry :
cosθ =![\frac{base}{hypotenuse}](/tpl/images/0326/0179/7de9d.png)
cos 67 ° =![\frac{BC}{AC}](/tpl/images/0326/0179/e8eaf.png)
AC = 351.28 feets
351 feets.
From the given option the closest value to our answer is 350.62 feets.
Hence, the correct option is 350.62 feets.
Ответ:
I honestly don't know man
Step-by-step explanation:
but you can do this you got it