Question

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Find each measurement. Round your answers to the nearest tenth. Part 2dd​

Answer 1

see explanation

Explanation:

Using the Sine rule in all 3 questions

`(a)/(sinA)` =
`(b)/(sinB)` =
`(c)/(sinC)`

(2)

`(b)/(sinB)` =
`(c)/(sinC)` , substitute values

`(45)/(sin133)` =
`(c)/(sin26)` ( cross- multiply )

c × sin133° = 45 × sin26° ( divide both sides by sin133° )

c =
`(45sin26)/(sin133)` ≈ 27.0 ( to the nearest tenth )

(4)

`(b)/(sinB)` =
`(c)/(sinC)` , substitute values

`(19)/(sinB)` =
`(30)/(sin97)` ( cross- multiply )

30 sinB = 19 sin97° ( divide both sides by 30 )

sinB =
`(19sin97)/(30)` , then

∠ B =
`sin^(-1)` (
`(19sin37)/(30)` ) ≈ 38.9° ( to the nearest tenth )

(6)

`(b)/(sinB)` =
`(c)/(sinC)`, substitute values

`(18)/(sin102)` =
`(xAB)/(sin45)` ( cross- multiply )

AB sin102° = 18 sin45° ( divide both sides by sin102° )

AB =
`(18sin45)/(sin102)` ≈ 13.0 ( to the nearest tenth )