Question

can someone please help mee

Answer 1

`(√(731))/(30)`

Explanation:

We first observe that the angle is located in quadrant III

This allows us to draw a triangle as attached in the attachments.

Using this triangle, we can find sin(
`\theta_1`).

Remembering that sin(theta) =
`(opp)/(hypo)`, we can see from the attached image that it is
`(√(30^2 - 13^2))/(30)`, then simplifying
`√(30^2 - 13^2)` using a calculator, we get
`√(731)`.

So our final answer is the answer shown above.

You may be wondering how did the side lengths appear on the triangle.

From cos(theta_1), we remember that cos(theta) = adj/hypo, so, we can draw our triangle using that the adjacent of the theta = -13 (another reason why is because the angle is in quadrant three), and hypo is 30.