MATH SOLVE

4 months ago

Q:
# What is the ratio for the sine of Z ?

Accepted Solution

A:

Answer:55/73Step-by-step explanation:Soh Cah Toa gives us our definitions for the trigonometric ratios: sine, cosine, and tangent.That is the first part means sine is opposite / hypotenuse.The second part means cosine is adjacent / hypotenuse.The last part means tangent is opposite / adjacent.No matter what angle you are looking to label the right triangle from, the hypotenuse will always be the same. The hypotenuse is the side opposite the 90 angle. Opposite meaning not touching; across from.The other two terms are adjacent and opposite and depending on what angle you are looking from these change.Adjacent means touching (exclude the hypotenuse from this).Opposite means across from; not touching.So from Z:The side that has measurement 55 is opposite to Z.The side that has measurement 48 is adjacent to Z.The hypotenuse is the side that has measurement 73.So from Y:The side that has measurement 48 is opposite to Y.The side that has measurement 55 is adjacent to Y.The hypotenuse is the side that has measurement 73.We don't label are triangle with respect to the 90 degree, X. Anyways we asked to find sin(Z).[tex]\sin(Z)=\frac{\text{opposite to }Z}{\text{ hypotenuse}}=\frac{55}{73}[/tex]