Wires are attached to a pole to make it more secure. The diagram shows one of those wires having a length of 220 feet. The angle of elevation from the ground to the top of the pole is 36. What is the height of the pole?
A. 178.0 ft
B. 374.3 ft
C. 159.8 ft
D. 129.3 ft
help anyone please
Just review the definitions of the basic trig functions. Check the diagram, and you can see that the height h can be found using
h/220 = sin 36°
A.178.0 ft
that is wrong its 129.3
To determine the height of the pole, we can use trigonometry.
We have the length of the wire (220 feet) and the angle of elevation (36 degrees).
The height of the pole can be found using the trigonometric function tangent, which is given by the equation:
tan(angle) = opposite / adjacent
In this case, the opposite side is the height of the pole, and the adjacent side is the length of the wire.
So, we can rewrite the equation as:
tan(36 degrees) = height / 220 feet
To find the height, we can rearrange the equation:
height = 220 feet * tan(36 degrees)
Using a calculator or a trigonometric table, we can find the tangent of 36 degrees, which is approximately 0.7265.
height = 220 feet * 0.7265
height ≈ 159.8 feet
Therefore, the height of the pole is approximately 159.8 feet.
The correct answer is option C. 159.8 ft.