Question

which is the correct set up to solve for x? cos 55 = x / 29, cos 29 = x / 55, sin 55 = 29 / x, tan 55 = 29 /

Explanation:

Step1: Recall trigonometric - ratio definition

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, and $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify sides relative to the given angle

For the angle of $55^{\circ}$, the side adjacent to it is $x$ and the hypotenuse is 29.

Step3: Select the correct trigonometric ratio

Using the cosine ratio $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, with $\theta = 55^{\circ}$, we get $\cos55=\frac{x}{29}$.

Answer:

$\cos55=\frac{x}{29}$