Question

Find the value of y .
show work​

Answer 1

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

If a right angle triangle,

`\cos \theta=(Adjacent)/(Hypotenuse)`

In the given right triangle,

`\cos (30^\circ)=(4√(3))/(y)`

`(√(3))/(2)=(4√(3))/(y)`

`√(3)* y=2* 4√(3)`

`√(3)* y=8√(3)`

Isolate the y variable.

`y=(8√(3))/(√(3))`

`y=8`

Therefore, the value of y is 8.