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  • 16-11-2020
  • Mathematics
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A 7676 foot guy wire is attached to the top of an antenna. The angle between the guy wire and the ground is 68o68o. How tall (in feet) is the antenna

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ayfat23
ayfat23 ayfat23
  • 16-11-2020

Answer:

70.47feet

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE INTERPRETATION OF THE QUESTION USING A FIQURE

From the attachment we can see that a triangle was formed, where the

OPPOSITE SIDE= X

HYPOTENUSE=76feet

From trigonometry,

Sin(θ)=opposite/Hypotenuse

Sin(68)= X/76

Cross multiply, we have,

X= Sin(68) × 76

X= 0.9272 × 76

X= 70.47feet

Therefore, the antenna is 70.47feet tall.

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