Question

Pleaseee help, Solve for x and y :3

Answer 1

x =
`√(6)` , y = 2
`√(3)`

Explanation:

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

tan45° =
`(opposite)/(adjacent)` =
`(x)/(√(6) )` = 1 , then

x =
`√(6)`

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using the cosine ratio in the right triangle and the exact value

cos45° =
`(1)/(√(2) )` , then

cos45° =
`(adjacent)/(hypotenuse)` =
`(√(6) )/(y)` =
`(1)/(√(2) )` ( cross- multiply )

y =
`√(6)` ×
`√(2)` =
`√(12)` = 2
`√(3)`