1.) How high is the school's flag pole if it casts a shadow 4 meters long when the angle of elevation to the sun is 60 degrees
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1.) How high is the school's flag pole if it casts a shadow 4 meters long when the angle of elevation to the sun is 60 degrees
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Answer: 6.93 meters
Explanation:
See attachment - pole.
We are to apply Trigonometry to solve this problem.
Since the involved parts are the given, an angle and an adjacent side, and the to-be-found, an opposite side, we can determine that the formula to be used is that of the tangent. It is:
tangent θ =
We then substitute.
tan(60°) =
To get x, we multiply tangent 60 degrees to the adjacent side of 4 meters.
x = tan(60°) x 4 meter
x = 6.92830 ≈ 6.93 meters
To learn more, see this link : https://mathbitsnotebook.com/Geometry/Trigonometry/TGElevDepress.html
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