Question

I need help with this​

Answer 1

`\theta \approx 61.93\textdegree`

Explanation:

We can solve for the measure of angle θ in this right triangle using the trigonometric ratio sine, which uses the opposite and hypotenuse sides.

`\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}`

↓ plugging in the given values

`\sin(\theta) = (15)/(17)`

↓ taking the inverse tangent of both sides

`\sin^(-1)\left(\frac{}{}\sin(\theta)\frac{}{}\right) = \sin^(-1)\left((15)/(17)\right)`

↓ canceling the inverse functions on the left side ...
`f^(-1)\left(\frac{}{}f(x)\frac{}{}\right) = x`

`\theta = \sin^(-1)\left((15)/(17)\right)`

↓ evaluating using a calculator

`\theta \approx 61.93\textdegree`