Question

FInd the answer to x

Answer 1

x = 33

Explanation:

Using the right triangles on the left and right and exact values

sin45° =
`(√(2) )/(2)`, tan60° =
`√(3)`

using right triangle on left then

sin45° =
`(opp)/(hyp)` =
`(opp)/(11√(6) )` and

`(opp)/(11√(6) )` =
`(√(2) )/(2)`

Cross- multiply

2 × opp = 11
`√(12)` = 22
`√(3)` ( divide both sides by 2 )

opp = 11
`√(3)`

Using right triangle on left

tan60° =
`(opposite)/(adjacent)`

note the adjacent side is the opposite side of the left triangle, so

tan60° =
`(x)/(11√(3) )` =
`√(3)`, thus

x = 11
`√(3)` ×
`√(3)` = 11 × 3 = 33