Question

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

Answer 1

`\large\boxed{c\approx3.31}`

Explanation:

Use cosine:

`cosine=(adjacent)/(hypotenuse)`

`\cos\theta=(b)/(c)`

We have:

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

Substitute:

`(3)/(c)=0.9063`

`(3)/(c)=(9063)/(10000)` cross multiply

`9063c=30000` divide both sides by 9063

`c\approx3.31`