Question

A right triangle contains a 38° angle whose adjacent side measures 10 centimeters. What is the length of the hypotenuse, to the nearest hundredth of a centimeter

Answer 1

Answer:

12.69 inches.

Step-by-step explanation:

Let h represent the length of the hypotenuse.

We have been given that a right triangle contains a 38° angle whose adjacent side measures 10 centimeters. We are asked to find the length of the hypotenuse.

We know that cosine relates adjacent side to hypotenuse of right triangle.

$\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$

$\text{cos}(38^{\circ})=\frac{10}{h}$

$h=\frac{10}{\text{cos}(38^{\circ})}$

$h=\frac{10}{0.788010753607}$

$h=12.690182$

Upon rounding to the nearest hundredth of a centimeter, we will get:

$h\approx 12.69$

Therefore, the length of the hypotenuse is approximately 12.69 inches.