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

Find The Length Of Side B Below Using Law Of Sines Give The Exact Value As An Expression And An Approximation To The Nearest Tenth class=

Sagot :

Answer:

b ≈ 7.8

Step-by-step explanation:

using the law of sines

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

[tex]\frac{b}{sin40}[/tex] = [tex]\frac{7}{sin35}[/tex] ( cross- multiply )

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

b = [tex]\frac{7sin40}{sin35}[/tex] ≈ 7.8 ( to the nearest tenth )

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