SOLUTION: a communications company is building a 30 foot antenna to carry cell phone transmissions. as shown in the diagram below, a 50 foot wire from the top of the ground is used to stabil
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Question 616658: a communications company is building a 30 foot antenna to carry cell phone transmissions. as shown in the diagram below, a 50 foot wire from the top of the ground is used to stabilize the antenna. find to the nearest degree the measure of the angle that the wire makes with the ground Found 2 solutions by dragonwalker, stanbon:Answer by dragonwalker(73) (Show Source):
You can put this solution on YOUR website! I assume you have the diagram, so you see that the antenna and the ground make a 90 degree angle. So picture it as a triangle with a vertical line of 30 ft and the 'hypotenuse' i.e. the wire, is 50 ft long.
To find the angle you use the opposite length to the angle (i.e. the height of the tower) and the hypotenuse.
To do this you must use Sine.
If we call the angle X then the formula is:
Sin (X) = Opposite/Hypotenuse
so:
Sin (X) = 30/50
Sin (X) = 0.6
X = Sin^-1 0.6
so using the inverse sine of 0.6
X = 36.9 degrees
You can put this solution on YOUR website! a communications company is building a 30 foot antenna to carry cell phone transmissions. as shown in the diagram below, a 50 foot wire from the top of the ground is used to stabilize the antenna. find to the nearest degree the measure of the angle that the wire makes with the ground
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sin(theta) = 30/50 = 3/5
theta = sin^-1(3/5) = 36.87 degrees
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Cheers,
Stan H.
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