Answer:
To find the length u in the given figure, we need to use trigonometry. In the figure, we have a right triangle with angle V measuring 45 degrees and the side adjacent to angle V labeled as 4√2. We want to find the length of the hypotenuse, which is labeled as u. To solve for u, we can use the trigonometric function cosine (cos). In a right triangle, cosine is defined as the ratio of the length of the adjacent side to the hypotenuse. So, cos(45°) = adjacent/hypotenuse 4√2/u To find u, we can rearrange the equation and solve for u: u = 4√2 / cos(45°) The cosine of 45 degrees is equal to 1/√2, so we can substitute this value: u = 4√2 / (1/√2) To divide by a fraction, we multiply by its reciprocal: u = 4√2 * (√2/1) Simplifying the expression: u = 4 * 2 = 8 Therefore, the length u is equal to 8 units. Note: The answer provided is based on the given information and assumptions made from the diagram. If any additional information or context is provided, it may affect the solution.
Explanation: