Question

To the nearest hundredth of a centimeter, what is the length of the hypotenuse?

Answer 1

The hypotenuse would be equal to roughly 37.67 centimeters. 

In order to find this we use the cosine function and the adjacent side length. Then my cross multiplying and solving, we can get the answer. 

$Cos( \alpha) = \frac{ADJ}{HYP}$

$Cos( 30) = \frac{32.63}{HYP}$

.866(HYP) = 32.63

HYP = 37.67

Answer 2

Side of the triangle is given as :- 32.63 cm

Angle formed by hypotenous and one side of triangle = 30°

We can solve this question by using cos30°

So,
$= > cos30 = \frac{32.63}{hypotenuse} \\ \\ = > hypotenuse = \frac{32.63}{ 0.866 } \\ \\ = > hypotenuse = 37.679 \: \: \: \: (ans)$