Question

Find the value of X.

Answer 1

Answer:

x = 18.46

Step-by-step explanation:

Find the last angle of the triangle.

180-90-72 = 18

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(b) = adj/hyp

CosB=a/c rewrite to get

6/CosB (72)  = 19.41

Find the last side of the triangle using the Pythagorean theorem.

b=square root c^2 - a^2

b=square root 376.99 - 36

b= 18.46