Question

Hello I need help with question 13! I will give you a great rating! Please help, I’m not sure how to do this. Also this is not a quiz this is practice

Answer 1

Given: A right triangle with a side and included angle

To Determine: The value of the unknown x

Solution:

In a right triangle, the side facing the right angle is the hypothenuse, the side facing the given angle is the opposite and the other side is the adjacent.

This is as shown in the given figure as

Using trigonometry identities

`\begin{gathered} sin\theta=(opposite)/(hypothenuse) \\ cos\theta=(adjacent)/(hypothenuse) \\ tan\theta=(opposite)/(adjacent) \\ Therefore \\ sin46^0=(24)/(x) \end{gathered}`
`\begin{gathered} x* sin46^0=24 \\ x=(24)/(sin46^0) \\ x=33.3639 \\ x\approx33.4(nearest\text{ tenth\rparen} \end{gathered}`

Hence, the value of x is 33.4