Question

Solve the triangle for which ∠ A = 30 ∘ , ∠ B = 45 ∘ , and a = 20 . Round to the nearest whole number. Do not use a decimal point or spaces in your answer or it will be marked incorrect. b = ∘

Answer 1

Answer:28

Explanation:

Answer 2

`b=20√(2)` units

Explanation:

Recall the Law of Sines

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

Solve for side "b" given ∠A, ∠B, and side "a"

`(sinA)/(a)=(sinB)/(b)\\ \\(sin(30^\circ))/(20)=(sin(45^\circ))/(b)\\ \\ bsin(30^\circ)=20sin(45^\circ)\\\\b(0.5)=20((√(2))/(2))\\ \\0.5b=10√(2)\\\\b=20√(2)`

Therefore,
`b=20√(2)` units