Question

Instructions: Find the measure of the indicated angle to thenearest degree.

Answer 1

Given:

• Length of side adjacent the indicated angle = 48

,

• Length of hypotenuse = 56

Let's find the measure of the indicated angle.

To find the measure of the indicated angle, apply the trigonometric ratio formula for cosine:

`cos\theta=\frac{adjacent}{\text{ hypotenuse}}`

Thus, we have:

`\begin{gathered} cos\theta=(48)/(56) \\ \\ cos\theta=(6)/(7) \\ \\ \text{ Take the inverse cosine of both sides:} \\ \theta=cos^(-1)((6)/(7)) \\ \\ \theta=31^o \end{gathered}`

Therefore, the measure of the indicated angle is 31 degrees.

ANSWER