Answer:
a = 36.37 cm
c = 18.19 cm
Step-by-step explanation:
to find a, use tan
⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]
⇒ tan 60 = [tex]\frac{21}{a}[/tex]
tan of 60 is 1.732
⇒ 1.732 = [tex]\frac{21}{a}[/tex]
multiply 21 on both sides
⇒ 1.732 x 21 = [tex]\frac{21}{a}[/tex]x 21
⇒ 36.37 = a
to find c, use sine
⇒ sine = [tex]\frac{oppsosite}{hypotenuse}[/tex]
⇒ sine 60 = [tex]\frac{21}{c}[/tex]
sine of 60 is 0.866
⇒ 0.866 = [tex]\frac{21}{c}[/tex]
muliply 21 on both sides
⇒ 0.866 x 21 = [tex]\frac{21}{c}[/tex] x 21
⇒ 18.19 = c
