Answer:
a = 4.6
b = 4.2
Step-by-step explanation:
to find a, use cos:
⇒ cos = [tex]\frac{adjacent}{hypothenuse}[/tex]
⇒ cos 30 = [tex]\frac{13}{a}[/tex]
cos of 30 is 0.154
⇒ 0.154 = [tex]\frac{13}{a}[/tex]
multiply 13 on both sides:
⇒ 0.154 x 13 = [tex]\frac{13}{a}[/tex] x 13
⇒ 4.62 = a
round to the nearest tenth:
⇒ 4.62 = 4.6
⇒ a = 4.6
to find b, use tan:
⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]
⇒ tan 60 = [tex]\frac{b}{13}[/tex]
tan of 60 is 0.320
⇒ 0.320 = [tex]\frac{b}{13}[/tex]
multiply 13 on both sides:
⇒ 0.320 x 13 = [tex]\frac{b}{13}[/tex] x 13
⇒ 4.16 = b
round to the nearest tenth:
⇒ 4.16 = 4.2
⇒ b = 4.2
