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Find A and B. Using the image above.

Find A and B. Using the image above.-example-1
User Sdbbs
by
7.8k points

1 Answer

7 votes

Answer:

a = 7, b =
(7√(3) )/(3)

Explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° =
(1)/(√(2) ) , then

sin45° =
(opposite)/(hypotenuse) =
(a)/(7√(2) ) =
(1)/(√(2) ) ( cross- multiply )

a ×
√(2) = 7
√(2) ( divide both sides by
√(2) )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° =
√(3) , then

tan60° =
(opposite)/(adjacent) =
(a)/(b) =
(7)/(b) =
√(3) ( multiply both sides by b )

b ×
√(3) = 7 ( divide both sides by
√(3) )

b =
(7)/(√(3) ) ×
(√(3) )/(√(3) ) =
(7√(3) )/(3)

User Dennisdrew
by
7.7k points

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