Question

Question 4
Use the figure below to find the value of x and y

Answer 1

`x=4, y=8`

Explanation:

step 1

Find the value of y

we know that

In the right triangle of the figure

`cos(30\°)=(4√(3))/(y)`

Remember that

`cos(30\°)=(√(3))/(2)`

so

`(√(3))/(2)=(4√(3))/(y)`

Simplify

`y=8\ units`

step 2

Find the value of x

In the right triangle of the figure

`sin(30\°)=(x)/(8)`

Remember that

`sin(30\°)=(1)/(2)`

so

`(1)/(2)=(x)/(8)`

`x=4\ units`