Question

question 9 of 10
the ____ of an angle is the ratio of the adjacent leg length to the hypotenuse
length.

a. cosine
b. sine
c. tangent

Explanation:

In a right - triangle, for a given acute angle:

• The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse (\(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\)).
• The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse (\(\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}\)).
• The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side (\(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\)).

Since the problem states the ratio of the adjacent leg length to the hypotenuse length, we are looking for the cosine function.

Answer:

A. cosine