Solve this trig problem. The image shows a right triangle. The hypotenuse is x. the adjacent is 9 and the opposite is 15.
To solve this trig problem, we can use the Pythagorean theorem for right triangles, which states that the square of the length of the hypotenuse (x) is equal to the sum of the squares of the lengths of the other two sides.
So, we have:
x^2 = 9^2 + 15^2
x^2 = 81 + 225
x^2 = 306
To solve for x, we take the square root of both sides:
x = √306
Therefore, the length of the hypotenuse is √306 (approximately 17.49).