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Lisa [10]
3 years ago
7

In triangle ABC, c is the hypotenuse, 0=25°, and b =3, Find the length of c ?

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:

\large\boxed{c\approx3.31}

Step-by-step explanation:

Use cosine:

cosine=\dfrac{adjacent}{hypotenuse}

\cos\theta=\dfrac{b}{c}

We have:

\theta=25^o\to\cos25^o\approx0.9063\\\\b=3

Substitute:

\dfrac{3}{c}=0.9063

\dfrac{3}{c}=\dfrac{9063}{10000}          <em>cross multiply</em>

9063c=30000          <em>divide both sides by 9063</em>

c\approx3.31

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