Question

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A pole is being decorated with 15-meter ribbons that are strung from the top of the 7.2-meter pole to a point on the ground. Which is the approximate measure of the angle formed by the ribbon and the pole?

Answer 1

The angle formed by the ribbon and the pole is 29°

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle formed by the ribbon and the pole.

Hence:

$sin(\theta)=\frac{7.2}{15} \\\\\theta=sin^{-1}0.48\\\\\theta=29^o$

The angle formed by the ribbon and the pole is 29°

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