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In DeltaA B C , right-angled at B, A B"\...

In `DeltaA B C` , right-angled at B, `A B"\ "="\ "5"\ "c m` and `/_A C B=30o` (see figure). Determine the lengths of the sides BC and AC.

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In `DeltaABC`
`(AB)/(BC)=tan30^(@)`
`rArr(5)/(BC)=(1)/(sqrt(3))`
`rArrBC=5sqrt(3)` and `(AB)/(AC)=sin30^(@)`
`rArr(5)/(AC)=(1)/(2)`
`rArrAC=10cm`
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