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The lengths of two sides of a triangle are 50 inches and 63 inches. The angle opposite the 63-inch side is `66^(@)` . How many degrees are in largest angle of the triangle ?

A

`66^(@)`

B

`67^(@)`

C

`68^(@)`

D

`71^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Use the law of sines `(sin B)/(50)=(sin 66^(@))/(63)*sin B=(50sin 66)/(63)~~(45.68)/(63)~~=0.725`
`B=sin^(-1)(0.725)~~46^(@) and angleA=180-46-66=68^(@)`
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