Question

in the given figure, the hypotenuse is 64. what is the cos x? note: figure not drawn to scale a. 32/64 b. 1/2 c. √3/2 d. 2

Explanation:

Step1: Recall cosine - ratio formula

The cosine of an angle in a right - triangle is defined as $\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Step2: Identify adjacent side and hypotenuse

Assume the adjacent side to angle $x$ is $32$ and the hypotenuse is $64$ (since in a right - triangle, if the hypotenuse is given as $64$ and we need to find $\cos x$). Then $\cos x = \frac{32}{64}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$