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Enter the number that belongs in the green box

Enter the number that belongs in the green box-example-1
User Gilligan
by
8.2k points

1 Answer

4 votes

Answer:

? ≈ 29.45°

Explanation:

using the Sine rule in the triangle


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

where a is the side opposite ∠ A

b is the side opposite ∠ Band c is the side opposite ∠ C

using the first pair of ratios

with a = 6 , ∠ A = ? , b = 11.89 and ∠ B = 103° , then


(6)/(sin?) =
(11.89)/(sin103) ( cross- multiply )

11.89 × sin? = 6 × sin103° ( divide both sides by 11.89 )

sin? =
(6sin103)/(11.89) , then

? =
sin^(-1) (
(6sin103)/(11.89) ) ≈ 29.45° ( to the nearest hundredth )

User Moeiscool
by
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