Question

X=

4

9

16

Plz help me

Answer 1

X=16

Remember that the triangle is given two angles one is 90 degrees and theme other is 60 degrees. All triangles equal 180 degrees so you can add up 60+90= 150
180-150= 30 degrees

Now we know the unknown angle is 30 degrees, so the side with the length 8 is across from the 30 degree angle. All sides across from 30 degree angles are half the hypotenuse. Since the unknown side is across from the 90 degree angle it is a hypotenuse. Therefore 8 is half the unknown side so x=16

Answer 2

x = 16

Explanation:

cos theta = adjacent side / hypotenuse

cos 60 = 8/x

Multiply by x on each side

x cos 60 =8/x*x

x cos 60 = 8

Divide by cos 60 on each side

x cos 60/cos 60 = 8 /cos 60

x =8 /cos 60

x = 16