4.2 If YZ is the WANTED SIDE and \( X Z \) is the GIVEN SIDE, which ratio of \( \frac{0}{h}=\sin 35,3^{\circ} \) or \( \frac{a}{h}=\cos 35,3^{\circ} \) or \( \frac{o}{a}=\tan 35,3^{\circ} \) will you use to determine \( Y Z \) ?

To determine the length of \( YZ \) when \( XZ \) is given, you'll want to focus on the angle you have—in this case, 35.3 degrees. Since \( YZ \) is the side opposite this angle, the ratio you’ll use is \( \frac{o}{h} = \sin(35.3^\circ) \). This means you'll multiply the length of \( XZ \) (the hypotenuse) by the sine of 35.3 degrees to find the desired length of \( YZ \). If you're still unsure how to apply this in a real-life scenario, consider a situation where you need to find the height of a ladder leaning against a wall. The angle between the ground and the ladder is 35.3 degrees and the distance from the wall to the base of the ladder is \( XZ \). By utilizing the sine function, you can easily calculate how high the ladder reaches, helping you ensure safety and proper reach!