Question

Solve for xx. Round to the nearest tenth, if necessary.
V
W
T
61°
x
2.6

Answer 1

I can’t see the diagram — could you upload the picture or say which side is opposite/adjacent/hypotenuse to the 61° angle? Meanwhile, here are the common possibilities (using SOH‑CAH‑TOA) and the answers rounded to the nearest tenth:

- If 2.6 is the side adjacent to the 61° angle and x is the opposite side:
x = 2.6·tan(61°) ≈ 4.7

- If 2.6 is the hypotenuse and x is the opposite side:
x = 2.6·sin(61°) ≈ 2.3

- If 2.6 is the side adjacent and x is the hypotenuse:
x = 2.6 / cos(61°) ≈ 5.4

- If 2.6 is the opposite side and x is the adjacent side:
x = 2.6 / tan(61°) ≈ 1.4

- If 2.6 is the opposite side and x is the hypotenuse:
x = 2.6 / sin(61°) ≈ 3.0

- If 2.6 is the hypotenuse and x is the adjacent side:
x = 2.6·cos(61°) ≈ 1.3

Tell me which one matches your diagram and I’ll confirm.