TRIGONOMETRY
==============================
#2 - side b?
\begin{gathered} \sf cos \: C = \frac{adjacent}{hypotenuse} \\\end{gathered}
cosC=
hypotenuse
adjacent
\begin{gathered} \sf cos \: C = \frac{b}{10}\\ \end{gathered}
cosC=
10
b
\begin{gathered} \sf cos \: 34° = \frac{b}{10}\\ \end{gathered}
cos34°=
10
b
\sf b = 10(cos \: 34°)b=10(cos34°)
\sf b = 8.29 b=8.29
\large \therefore \: ∴ b = 8.29
\:
#3 - side f?
\begin{gathered} \sf sin \: F = \frac{opposite}{hypotenuse} \\\end{gathered}
sinF=
hypotenuse
opposite
\begin{gathered} \sf sin \: F = \frac{f}{31}\\ \end{gathered}
sinF=
31
f
\begin{gathered} \sf sin \: 43° = \frac{f}{31}\\ \end{gathered}
sin43°=
31
f
\sf f = 31(sin \: 43°) f=31(sin43°)
\sf f = 21.14 f=21.14
\large \therefore \: ∴ f = 21.14
==============================
#CarryOnLearning
