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In this diagram, the height of the pole is 8 m and side b = 12 m. What is the angle of elevation?Select one:a.33.70b.25.20c.41.80d.48.10

Question

In this diagram, the height of the pole is 8 m and side b = 12 m. What is the angle of elevation?

Select one:

  • a. 33.70
  • b. 25.20
  • c. 41.80
  • d. 48.10
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Solution

To find the angle of elevation, we can use the tangent function in trigonometry. The tangent of an angle in a right triangle is defined as the ratio of the opposite side to the adjacent side.

Here, the height of the pole is the opposite side (8 m) and side b is the adjacent side (12 m).

So, tan(θ) = opposite/adjacent = 8/12 = 0.6667

To find the angle θ, we need to find the inverse tangent (or arctan) of 0.6667.

Using a calculator, arctan(0.6667) ≈ 33.69 degrees.

So, the closest answer is a. 33.70.

This problem has been solved

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