Question

1. for ∠x, label each side as opposite, adjacent, or the hypotenuse. 2) for ∠x, create trig 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 z 30 24 adjacent y x 18 sin(x) = \frac{\square}{\square} cos(x) = \frac{\square}{\square} tan(x) = \frac{\square}{\square}

Explanation:

Step1: Identify sides for ∠X

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

Step2: Calculate sin(X)

$\sin(X)=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{24}{30}$

Step3: Calculate cos(X)

$\cos(X)=\frac{\text{adjacent}}{\text{hypotenuse}}=\frac{18}{30}$

Step4: Calculate tan(X)

$\tan(X)=\frac{\text{opposite}}{\text{adjacent}}=\frac{24}{18}$

Answer:

Side opposite ∠X: 24; Side adjacent ∠X: 18; Hypotenuse: 30; $\sin(X)=\frac{24}{30}$; $\cos(X)=\frac{18}{30}$; $\tan(X)=\frac{24}{18}$