Question

What is the value of x to the nearest hundredth?

Answer 1

x= 15.45.

Explanation:

Use the law is sines to find the value of x (check the attached image below).

According to the law, the length of side x is obtained in the following fashion:

`(14)/(sin(65)) =(x)/(sin(90))\\ \\x=(14)/(sin(65))*{sin(90)`

`x=15.45`.

Note. We know that the angle infront of side x equals 90 because of the square drawn on the corner where the angle is. Whenever that square is drawn, means that we have a right angle, whose angle is always 90°.