Question

Please help round to the nearest tenth

Answer 1

a = 4.6

b = 4.2

Explanation:

to find a, use cos:

⇒ cos =
`(adjacent)/(hypothenuse)`

⇒ cos 30 =
`(13)/(a)`

cos of 30 is 0.154

⇒ 0.154 =
`(13)/(a)`

multiply 13 on both sides:

⇒ 0.154 x 13 =
`(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 =
`(opposite)/(adjacent)`

⇒ tan 60 =
`(b)/(13)`

tan of 60 is 0.320

⇒ 0.320 =
`(b)/(13)`

multiply 13 on both sides:

⇒ 0.320 x 13 =
`(b)/(13)` x 13

⇒ 4.16 = b

round to the nearest tenth:

⇒ 4.16 = 4.2

⇒ b = 4.2