In the right triangle shown, m ∠ A = 30 ° m∠A=30°m, angle, A, equals, 30, degree and A B = 12 3 AB=12 3 A, B, equals, 12, squa
re root of, 3, end square root. 30 ° 30° x x 12 3 12 3 C C A A B B How long is A C ACA, C?
1 answer:
Answer:
AC = 18
Step-by-step explanation:
Given the question:
<em>In a right triangle, m∠A = 30° and AB = 12√3 (AB is the hypotenuse). How long is AC?</em>
Side AC is adjacent to angle A. Then, by definition of cosine:
cos(A) = adjacent/hypotenuse
cos(A) = AC/AB
AC = cos(A)*AB
AC = cos(30°)*12√3
AC = 18
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Step-by-step explanation:
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