Question

Need to be taught how to do this, thanks​

Answer 1

x = 36.27

Explanation:

By using the steps to find sin θ backwards, we can find x, the hypotenuse.

sin θ =
`(opposite)/(hypotenuse)` or side
`(a)/(c)` (as seen in my example picture).

We already know the value for sin (α), which is 32° because its given. The opposite side (a) is 20 and the hypotenuse side (c) is x which are both also given.

So the equation now looks like:

sin 32° =
`(20)/(x)`

Don't solve for the sin 32 yet! First, we have to isolate the variable.

To get rid of the x in the denominator you have to multiply both sides by x:

( sin 32 ) · x = (
`(20)/(x)` ) · x

( sin 32 ) x = 20

Then, you have to divide both sides by sin 32 to get x by itself:

(( sin 32 ) x ) ÷ ( sin 32 ) = 20 ÷ ( sin 32 )

x = 20 ÷ ( sin 32 )

Lastly, you have to use a calculator to find 20 ÷ ( sin 32 ), and it should give you 36.2695543766.

The question asks you to round to 2 decimal places so:

x = 36.27