Question

Find the length of AC, correct to 2 decimal places.

Answer 1

Hello!

This is a question relating trigonometry to unknown sides.

Here we can use the law of sines, which state that if a triangle is a right triangle, the ratio between a side and the sin of its opposite angle will be equal to any other ratio of the same type.

This means that we can set up this equation.

`(17)/(sin(90))=(AC)/(sin(38))`

`AC=17sin(38)`

Be sure to be on degrees if you're on a calculator.

`AC=10.47`

Hope this helps!