Question

Could someone check my answer on this problem please I believe the answer is c

Answer 1

C

Step-by-step explanation:

sinB = AC/BC

sin(45) = 12/BC

1/sqrt(2) = 12/BC

BC = 12 ÷ 1/sqrt(2)

BC = 12sqrt(2)

sqrt: square root

Answer 2

Option C:
`12√(2) \ ft` is the length of BC

Step-by-step explanation:

Given that the triangle ABC

The length of
`AC=12 \ ft`,
`m\angle B=45^(\circ)`

We need to determine the length of BC

Length of BC:

The length of BC can be determined using the trigonometric ratios.

`sin \theta=(opp)/(hyp)`

Substituting
`\theta=45` ,
`Opp=BC=12` and
`hyp=BC`, we get,

`sin \ 45=(12)/(BC)`

`BC=(12)/(sin \ 45)`

Simplifying the values, we get,

`BC=(12)/((1)/(√(2)))`

Dividing, we get,

`BC=12√(2)`

Thus, the value of BC is
`12√(2) \ ft`

Hence, Option C is the correct answer.