Question

Please explain how to do this

Answer 1

x = 11.8

Explanation:

sine =
`(opposite)/(hypotenuse)`

⇒ sine 41 =
`(18)/(x)`

⇒ 0.656 =
`(18)/(x)`

multiply 18 on both sides:

⇒ 0.656 x 18 =
`(18)/(x)` x 18

⇒ 11.808 = x

round to the nearest tenth:

⇒ 11.808 = 11.8

Answer 2

27.4

Explanation:

Use your calculator for this.

Remember, use SOH CAH TOA

We have an opposite (O) and an adjacent side (A), so we use SINE

sin(41)=18/X......following?

Now, solve for X by multiplying both sides by X......sin(41)(X)=18

Then, divide both sides by sin(41).

Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!