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otez555 [7]
2 years ago
5

Question 1

Mathematics
1 answer:
Scrat [10]2 years ago
6 0

Answer:

17.11 meters

Step-by-step explanation:

You are using trigonometry in this problem.

The height of the flagpole represents the side <u><em>opposite</em></u> the given angle.

The base of the triangle is given as 19 meters and represents the side <u><em>adjacent</em></u> to the given angle.

Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.

Tan(angle) = opposite / adjacent

If we plug in what we know into that equation: <em>tan(42 degrees) = h / 19</em>

This means that <em>your answer = 19 * tan(42) = 17.11</em> meters

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