Question

Please help round to the nearest tenth

Answer 1

Answer:

a = 4.6

b = 4.2

Step-by-step explanation:

to find a, use cos:

⇒ cos = $\frac{adjacent}{hypothenuse}$

⇒ cos 30 = $\frac{13}{a}$

cos of 30 is 0.154

⇒ 0.154 = $\frac{13}{a}$

multiply 13 on both sides:

⇒ 0.154 x 13 = $\frac{13}{a}$ x 13

⇒ 4.62 = a

round to the nearest tenth:

⇒ 4.62 = 4.6

⇒ a = 4.6

to find b, use tan:

⇒ tan = $\frac{opposite}{adjacent}$

⇒ tan 60 = $\frac{b}{13}$

tan of 60 is 0.320

⇒ 0.320 = $\frac{b}{13}$

multiply 13 on both sides:

⇒ 0.320 x 13 = $\frac{b}{13}$ x 13

⇒ 4.16 = b

round to the nearest tenth:

⇒ 4.16 = 4.2

⇒ b = 4.2