Question

Solve For X, using the given triangle.

Please answer quick! Also, keep in mind that this uses stuff like sin, cos, and tan. I'm looking for like trig and whatnot, please help!

Answer 1

x = 19.8

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

Explanation:

`\tan(31) = (x)/(33) \\ x = 33 \tan(31) \\ x = 19.82840042791 \\ x = 19.83`