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If sin theta = 0.5, what is the length o...

If `sin theta = 0.5`, what is the length of BC ?

A

`1.25`

B

`1.41`

C

`1.50`

D

`1.73`

Text Solution

Verified by Experts

The correct Answer is:
D
You could use your calculator to find what angle has a sine of 0.5, but you might just know that it's `30^(@)`. This is a 30-60-90 triangle, and BC is the longer leg, which is equal to the shorter leg times `sqrt(3)`. Since AC = 1, then `BC = sqrt(3)`. You could use your calculator to find square root of 3, but you should probably know that it's about 1.73.
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