Question

What are the values of x and y?What is the answer in simplest form?

Answer 1

`x=7sqrt3, y=14`

Explanation:

As can be seen in the Fig, `DeltaABC` is a 30-60-90 triangle.

`sin30^@=(AB)/(AC)`
`=> 1/2=7/y`
`=> y=2xx7=14`

`sin60^@=(BC)/(AC)=x/y`
`=> sqrt3/2=x/14`

`=> x=(14sqrt3)/2=7sqrt3`