Question

in the given figure, the hypotenuse is 64 what is the cos x? note: figure not drawn to scale a. $\frac{sqrt{3}}{2}$ b. $\frac{1}{2}$ c. $\frac{2sqrt{3}}{3}$ d. 2

Explanation:

Step1: Recall cosine definition

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

Step2: Identify adjacent and hypotenuse

Let's assume the adjacent side to angle $x$ is $a$ and the hypotenuse $c = 64$. But we are not given the length of the adjacent side in the problem - statement. However, if we assume the adjacent side length is $32$, then $\cos x=\frac{32}{64}=\frac{1}{2}$.

Answer:

b. $\frac{1}{2}$