Question

use the trigonometric ratio to find the measure of θ in the triangle. Give your answer to the nearest degree

Answer 1

θ = 64°

Step-by-step explanation:

Trigonometric ratio SOHCAHTOA

hypotenuse = 10cm

angle = θ

opposite = side opposite the angle = 9cm

adjacent = not given

Since we know the opposite and the hypotenuse, we would apply sine ratio (SOH)

`\begin{gathered} \sin \text{ }\theta\text{ = }\frac{opposite}{\text{hypotenuse}} \\ \sin \text{ }\theta\text{ = }(9)/(10) \end{gathered}`
`\begin{gathered} \sin \theta\text{ = 0.9} \\ \theta=sin^(-1)(0.9) \\ \theta=\text{ 64.16}\degree \\ To\text{ the nearest degr}ee,\text{ }\theta=\text{ 64}\degree \end{gathered}`