Answer:
[tex]b=9.53cm[/tex] to the nearest hundredth.
Step-by-step explanation:
The given triangle has a right angle.
So we can use SOH CAH TOA to find the value of b.
Since b is adjacent to the given angle, and we were also given the side opposite to the given angle to be 8cm, we can use the tangent ratio.
[tex]\tan 40\degree =\frac{Opposite}{Adjacent}[/tex]
[tex]\tan 40\degree =\frac{8}{b}[/tex]
[tex]b=\frac{8}{\tan 40\degree}[/tex]
[tex]b=9.53cm[/tex] to the nearest hundredth.
