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2 years ago

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

Mathematics

1 answer:

Charra [1.4K]2 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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