Answer:
See explanation and attachment
Step-by-step explanation:
SOH CAH TOA is a mnemonic.
SOH means [tex]\sin \theta=\frac{Opposite}{Hypotenuse}[/tex]
CAH means [tex]\cos \theta =\frac{Opposite}{Hypotenuse}[/tex]
TOA means [tex]\tan \theta=\frac{Opposite}{Adjacent}[/tex]
Given an angle and a side of a right angle triangle, you can use the appropriate ratio to find the missing side.
For instance, find x in the diagram in the attachment.
In this case the best ratio to use is TOA.
[tex]\tan 60\degree=\frac{\sqrt{3} }{x}[/tex]
[tex]\implies x=\frac{\sqrt{3} }{\tan 60}[/tex]
[tex]x=\frac{\sqrt{3} }{\sqrt{3} } =1[/tex]
All the other ratio also follow the same pattern
NB: Your calculator in degree should give [tex]\tan 60\degree=\sqrt{3}[/tex]
