Question

Solve For X, using the given triangle.

Answer 1

Answer:

x = 19.8

Step-by-step explanation:

You want to use tangent, since you are trying to find the opposite side and know the adjacent side to the angle.

tan = opposite/adjacent

31tan = x/33

Multiply both sides by 33

33(31tan) = (33) x/33

33(31tan) = x

Find the tan of 31° using a scientific calculator.

tan 31° is about 0.6

Solve for x

33(0.6) = x

x = 19.83

rounded to the the nearest tenth

x = 19.8

Answer 2

Step-by-step explanation:

$\tan(31) = \frac{x}{33} \\ x = 33 \tan(31) \\ x = 19.82840042791 \\ x = 19.83$