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stealth61 [152]
2 years ago
7

Highschool level trigonometry!!! Need help knowing step by step how to find answer!

Mathematics
1 answer:
Goshia [24]2 years ago
5 0

Answer:

\theta \approx 82.34^\circ

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}

The adjacent side is 2 and the hypotenuse is 15. By substitution:

\displaystyle \cos(\theta)=\frac{2}{15}

Now, we will take the inverse cosine of both sides. So:

\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)

Use a calculator. Hence:

\theta \approx 82.34^\circ

The angle between the ground and the ladder is about 82.34°.

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