Question

The legs of a right triangle measure 5 inches and 7 inches if the theta is the the angle between the 5 inch leg and hypotenuse, cos

theta

Answer 1

9514 1404 393

Answer:

cos(θ) = (5√74)/74

Explanation:

The length of the hypotenuse is given by the Pythagorean theorem:

h = √(5² +7²) = √74

The cosine of the angle is the ratio of the adjacent leg to the hypotenuse:

cos(θ) = 5/√74 = (5√74)/74