Question

Find the value of the missing angel. Round to nearest Whole angel

Answer 1

Based on the triangle, we have the following information:

Hypotenuse = 34 units

Side opposite of the angle = 21 units

Angle = ?

To get the value of the missing angle, we will use sine function. The formula is:

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

Since we already have the values of the opposite side and hypotenuse, let's plug it in the function above.

`\begin{gathered} \sin \theta=(21)/(34) \\ \theta=\sin ^(-1)(21)/(34) \\ \theta=38.1445\approx38\degree \end{gathered}`

Therefore, the measure of the missing angle is approximately 38 degrees.