Aship travels 12 miles from point a to point b, makes a turn of 112 degrees, and travels 14 miles to point c. if the ship travels directly from point c back to point a, how many miles will it travel on the last leg of the trip(from point c to point a)? round your answer to the nearest tenth of a mile.

a)23.4 miles
b)21.6 miles
c)16.2 miles
d)18.8 miles

Option B.

Step-by-step explanation:

Given information: AB=12 miles, BC=14 miles and ∠B=112°.

Using given information, we get

We need to find the value of CA or b.

Cosine formula:

Substitute a=14, c=12 and B=112.

Taking square root on both sides.

Therefore, the correct option is B.

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step-by-step explanation:

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