in which triangle is the value of x equal to cos⁻¹(4.3/6.7)? (images may not be drawn to scale.)

Explanation:

Step1: Recall cosine - ratio definition

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, and $\theta = \cos^{-1}(\frac{\text{adjacent}}{\text{hypotenuse}})$.

Step2: Analyze the given expression

We have $x=\cos^{-1}(\frac{4.3}{6.7})$, so the side adjacent to angle $x$ has length $4.3$ and the hypotenuse has length $6.7$.

Step3: Check the triangles

In the first triangle, the side adjacent to angle $x$ is $4.3$ and the hypotenuse is $6.7$.

Answer:

The first triangle (the one where the side adjacent to angle $x$ is $4.3$ and the hypotenuse is $6.7$)