Answer:
Step-To determine the hypotenuse of the given triangle, we can use the trigonometric equation involving the sine function. The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse. In this case, we have a right triangle with a known angle of 60° and a known side length of 3m. To find the hypotenuse, we can use the formula: sin(θ) = opposite/hypotenuse where θ represents the angle and the opposite side is the side opposite the angle. In this case, the opposite side is 3m and the angle is 60°, so we have: sin(60°) = 3m/hypotenuse To solve for the hypotenuse, we need to isolate it. We can rearrange the equation as follows: hypotenuse = 3m / sin(60°) Now, we can plug in the values and calculate the hypotenuse: hypotenuse = 3m / sin(60°) Using the value of sin(60°) ≈ 0.866, we have: hypotenuse = 3m / 0.866 Simplifying the expression, we get: hypotenuse ≈ 3.464m Therefore, the hypotenuse of the given triangle is approximately 3.464m.by-step explanation: