Question

Find the measure of the indicated angle to the nearest degreeQuestion 15

Answer 1

Question 15.

Given:

Length of side opposite the indicated angle = 12 units

Length of side adjacent the hypotenuse = 24 units

Let's find the measure of the indicated angle.

Here, we have a right triangle.

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

`sin\theta=\frac{opposite\text{ side}}{hypotenuse}`

Where:

θ is the indicated angle.

Thus, we have:

`\begin{gathered} sin\theta=(12)/(24) \\ \\ sin\theta=(1)/(2) \end{gathered}`

Take the sine inverse of both sides:

`\begin{gathered} \theta=sin^(-1)((1)/(2)) \\ \\ \theta=30^o \end{gathered}`

Therefore, the measure of the indicated angle us 30 degrees.

• ANSWER:

30°