Question

Find the value of x and y. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Answer 1

Explanation:

For x;

`{ \tt{ \tan( \theta) = (opposite)/(adjacent) }} \\ \\ { \tt{ \tan( 60 \degree) = (x)/(5) }} \\ \\ { \tt{x = 5 \tan(60 \degree) }} \\ \\ { \tt{x = 5 √(3) }}`

For y;

`{ \tt{\cos( \theta) = (adjacent)/(hypotenuse) }} \\ \\ { \tt{cos(60 \degree) = (5)/(y) }} \\ \\ { \tt{y = 5 \cos(60 \degree) }} \\ \\ { \tt{y = 2.5}}`