Question

1. for ∠x, label each side as opposite, adjacent, or the hypotenuse. 2) for ∠x, create the ratios for sin, cos, and tan. drag & drop the answer opposite adjacent hypotenuse 18 24 30 note: use ctrl+d to drag the option via keyboard. right triangle with right angle at y, sides: yx = 18, yz = 24, xz = 30 sin(x) = \frac{24}{30}, cos(x) = \frac{18}{30}, tan(x) = \frac{24}{18}

Explanation:

Step1: Identify sides for ∠X

In right triangle XYZ, opposite to ∠X is YZ=24, adjacent is XY=18, hypotenuse is XZ=30.

Step2: Apply trigonometric ratios

sin(X) = opposite/hypotenuse = $\frac{24}{30}$; cos(X) = adjacent/hypotenuse = $\frac{18}{30}$; tan(X) = opposite/adjacent = $\frac{24}{18}$.

Answer:

opposite: 24
adjacent: 18
hypotenuse: 30
sin(X) = $\frac{24}{30}$
cos(X) = $\frac{18}{30}$
tan(X) = $\frac{24}{18}$