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
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.
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