A right triangle has an opposite side of length 7 and an adjacent side of length 24 relative to angle θ. Find θ to the nearest tenth of a degree.

We know the opposite and adjacent sides relative to angle θ, so tangent is the appropriate trigonometric ratio.

Use:
tan(θ) = opposite / adjacent

Substitute the known side lengths:
tan(θ) = 7 / 24

To solve for θ, use the inverse tangent function:
θ = tan⁻¹(7 / 24)

Evaluate with a calculator in degree mode:
θ ≈ 16.2602°

Round to the nearest tenth:
θ ≈ 16.3°

Therefore, the angle is approximately 16.3°.