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43 votes
43 votes
At a horizontal distance of 200 m from the base of an observation tower, the angle between the

ground and the line of sight to the top of the tower is 8°. Sketch and label a diagram to represent
the information in the problem. How high is the tower to the nearest metre?

User MuffintopBikini
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3.1k points

2 Answers

17 votes
17 votes

Hope this helps. Any more questions?

At a horizontal distance of 200 m from the base of an observation tower, the angle-example-1
User JCBiggar
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3.0k points
14 votes
14 votes

9514 1404 393

Answer:

28 m

Explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

tan(8°) = height/distance to base

height = (distance to base)tan(8°) = (200 m)tan(8°)

height ≈ 28 m

At a horizontal distance of 200 m from the base of an observation tower, the angle-example-1
User Ed Andersen
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2.5k points