Question

Hello! I need some help figuring out what I did wrong here. I understand for the most part but I messed up somewhere. Work would be nice so I can visually see the right process!​

Answer 1

x = 23

Explanation:

Here, we want to find the value of x

To do this, we are to use the sine rule

But first, we need the measure of the last angle of the triangle

Mathematically, the sum of the angles in a triangle is 180

Thus;

B + 25 + 120 = 180

B + 145 = 180

B = 180-145

B = 35

Mathematically, we have the sine rule as; the ratio of the measure of the side of a triangle and the sine of the angle that faces the side is constant in a triangle

Thus, we have that

x/sin 120 = 15/sin 35

x sin 35 = 15 sin 120

x = (15 sin 120)/sin 35

x = 22.65

To the nearest whole number, x = 23