72,886 views
17 votes
17 votes
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Find each measurement. Round your answers to the nearest tenth. Part 2dd​

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Find each measurement. Round your-example-1
User Chantese
by
3.0k points

1 Answer

13 votes
13 votes

Answer:

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 )

User Rocksfrow
by
3.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.