Question

Which answer choice correctly solves for a and b?

Answer 1

C

Explanation:

Using the sine ratio and the exact value sin45° =
`(1)/(√(2) )` , then

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

a = 6
`√(2)`

Using the tangent ratio and the exact value tan45° = 1 , then

tan45° =
`(opposite)/(adjacent)` =
`(6)/(b)` = 1 , so

b = 6