Question

NEED THE ANSWER ASAP

Answer 1

c = 7
`√(3)`

Explanation:

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

sin45° =
`(√(2) )/(2)`, then

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

2a = 14 ( divide both sides by 2 )

a = 7

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

tan30° =
`(1)/(√(3) )` , then

tan30° =
`(opposite)/(adjacent)` =
`(a)/(c)` =
`(7)/(c)` =
`(1)/(√(3) )` ( cross- multiply )

c = 7
`√(3)`

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