Question

Which expression can be used to find the value of x?

23(sin85°)sin55°
23(sin55°)sin85°
(sin55°)(sin85°)23
23(sin55°)(sin85°)

Answer 1

Explanation:

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Answer 2

Option B.
`x =(23.sin55)/(sin85)` is the expression.

Explanation:

In the given triangle ∠D = 85° and ∠F = 55°

DE = x and EF = 23

Therefore by sine rule

`(sinD)/(EF)=(sinF)/(ED)`

By putting the given values in the formula we can get the value of x

`(sin 85)/(23)=(sin55)/(x)`

`x =(23.sin55)/(sin85)`

Therefore option B.
`x =(23.sin55)/(sin85)` is the answer.