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1. In ABC, C is a right angle and BC = 11. If B = 30°, find AC. (1 point)

PLEASE HELP I HAVE ONE DAY TO COMPLETE THE CONNECTION PRECALCULUS B UNIT 8: SEMESTER EXAM! I would do ANYTHING PLEASE?!

1. In ABC, C is a right angle and BC = 11. If B = 30°, find AC. (1 point) PLEASE HELP-example-1

2 Answers

3 votes
The answer is the first one (A)
User Cysioland
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6 votes

Answer:


AC=(11√(3))/(3)

Explanation:

Given that triangle ABC is a right angle triangle. Where angle C is a right angle. Also we have been given that BC = 11, B = 30°. Now we need to find the value of AC.

Apply formula:


\tan\left(\theta\right)=(opposite)/(adjacent)


\tan\left(B\right)=(AC)/(BC)


\tan\left(30^o\right)=(AC)/(11)


(1)/(√(3))=(AC)/(11)


(11)/(√(3))=AC


AC=(11)/(√(3))

or


AC=(11)/(√(3))\cdot(√(3))/(√(3))

or


AC=(11√(3))/(3)

Hence final answer is
AC=(11√(3))/(3).

1. In ABC, C is a right angle and BC = 11. If B = 30°, find AC. (1 point) PLEASE HELP-example-1
User Ishaan
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5.5k points