Find the length of side b below using Law of Sines. Give the exact value as an expression and an approximation to the nearest te

Question

2 years ago

8

nth.

1 answer:

denis-greek [22] · Answer 1 · 2023-06-06T15:52:57+03:00

4 0

Answer:

b ≈ 7.8

Step-by-step explanation:

using the law of sines

∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then

$\frac{b}{sin40}$ = $\frac{7}{sin35}$ ( cross- multiply )

b × sin35° = 7 × sin40° ( divide both sides by sin35° )

b = $\frac{7sin40}{sin35}$ ≈ 7.8 ( to the nearest tenth )