College

A 30 ft wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 ft high. What is the angle the wire makes with the ground?

A. 19 degrees
B. 30 degrees
C. 80 degrees
D. 66 degrees

Answer :

Final answer:

To find the angle the wire makes with the ground, we can use the concept of right triangles and trigonometric ratios. Using the tangent function, we can calculate that the angle is approximately 19 degrees.


Explanation:

To find the angle the wire makes with the ground, we can use the concept of right triangles and trigonometric ratios. The wire forms the hypotenuse of the right triangle, with the light pole being the opposite side and the distance from the pole to the point where the wire touches the ground being the adjacent side. We can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side, to find the angle.

Tan(theta) = opposite/adjacent

Tan(theta) = 10/30

Theta ≈ 19 degrees


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