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In right DeltaABC, /B=90^(@), AB=3cm and...

In right `DeltaABC`, `/_B=90^(@)`, `AB=3cm` and `AC=6cm`. Find `/_A`.

A

`30^@`

B

`45^@`

C

`70^@`

D

`60^@`

Text Solution

Verified by Experts

The correct Answer is:
D
`(AB)/(AC)=sinCimpliessinC=(3)/(6)=(1)/(2)`
`impliessinC=sin30^(@)implies/_C=30^(@)`
`:./_A=180^(@)-(90^(@)+30^(@))=(180^(@)-120^(@))=60^(@)`
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