Answer:
27.2
Step-by-step explanation:
1. Identify the trigonometric relationship
We have the opposite side (11) and the adjacent side (x) to the given angle (22°).
This means we'll use the tangent function: tan(angle) = opposite / adjacent
2. Set up the equation
tan(22°) = 11 / x
3. Solve for x
Multiply both sides by x: x * tan(22°) = 11
Divide both sides by tan(22°): x = 11 / tan(22°)
4. Calculate
x ≈ 11 / 0.4040
x ≈ 27.2
Answer: x is approximately 27.2 (rounded to the nearest tenth).
