What is the measure of angle J in the triangle below?
Adjacent: 10
Hypotenuse: 17
90 degree angle: 102
To find the measure of angle J, we must use the fact that the sum of the angles in any triangle is 180 degrees.
Since we know one angle is 90 degrees and the adjacent side is 10 and hypotenuse is 17, we can use the trigonometric function cosine to find the measure of angle J.
cos(J) = adjacent/hypotenuse
cos(J) = 10/17
Now, we can use the inverse cosine function to solve for J:
J = cos^-1(10/17)
J ≈ 56.68 degrees
Therefore, the measure of angle J in the given triangle is approximately 56.68 degrees.