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At a location 30m from the base of a flagpole, the angle of elevation is 34 degrees. Determine the height of the flagpole to the nearest meter.

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Answer:

20.2 m

Explanation:

At a location 30m from the base of a flagpole, the angle of elevation is 34 degrees. Determine the height of the flagpole to the nearest meter.

We solve this question using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = 34°

Adjacent =30m

Opposite = Height of the flag pole = x

Hence

tan 34 = x/30

Cross Multiply

tan 34 × 30m

= 20.235255505 m

Approximately = 20.2 m

Hence, the height of the flag pole to the nearest meter = 20.2m

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