Question

In right triangle ABC, hypotenuse AB has a length of 25.3in, and side BC has a length of 10.2in. What is the measure of

Answer 1

66.2 degrees

Step-by-step explanation:

The diagram illustrating this problem is drawn here for ease.

To find the measure of angle B, we apply trigonometric ratio:

`\begin{gathered} \cos \theta=\frac{\text{Adjacent}}{\text{Hypotenuse}} \\ \implies\cos B=(BC)/(AB) \end{gathered}`

Substitute the given values:

`\begin{gathered} \cos B=(10.2)/(25.3) \\ \implies B=\arccos ((10.2)/(25.3)) \\ m\angle B=66.2\degree \end{gathered}`

The measure of angle B is 66.2 degrees (the nearest tenth of a degree)