Respuesta :

Answer:

x = 15.6

Step-by-step explanation:

In order to find x we use the cosine rule, since we have all two sides and an angle

So we have

x² = ZX ² + XY² - 2(ZX)(XY) cos X

From the question

ZX = 13

XY = 8

X = 93°

Substituting the values into the expression we have

x² = 13² + 8² - 2(13)(8)cos 93

x² = 169 + 64 - 208 cos 93

x² = 233 - 208 cos 93

x² = 243.885

Find square root of both sides

x = 15.616817

We have the final answer as

x = 15.6 to the nearest tenth

Hope this helps you