Final answer:
Using SOH CAH TOA, the measure of angle V is approximately 31.0 degrees when rounded to the nearest tenth.
Step-by-step explanation:
In trigonometry, SOH CAH TOA represents three primary trigonometric ratios. For angle V, we'll use the tangent ratio, which is expressed as tan(θ) = opposite/adjacent. In the given problem, we need the angle measure, the opposite side (height), and the adjacent side (base). Let's assume the opposite side is "op" and the adjacent side is "adj." Therefore, tan(V) = op/adj.
To find angle V, we can rearrange the formula to V = tan^(-1)(op/adj). Substituting the given values for op and adj into the formula, we can calculate V.
Now, to perform the calculations, let's say the opposite side (height) is 10 units, and the adjacent side (base) is 18 units. So, V = tan^(-1)(10/18). Using a calculator, we find V ≈ 31.0 degrees when rounded to the nearest tenth.
Understanding and applying trigonometric ratios like tangent (tan) allow us to determine unknown angles in right-angled triangles, providing valuable tools for solving real-world problems involving angles and distances