Question

URGENT!! LAW OF SINES WORK

1. Using the provided measures determine the measure of angle AC.


7.1 cm

10.9 cm

12.4 cm

13.1 cm


2. Using the provided measures determine the length of the segment AB.


7.1 cm

10.9 cm

12.4 cm

13.1 cm

Answer 1

1. 7.1 cm

2. 10.9 cm

Explanation:

1. You know the legs of a right triangle must be shorter than the hypotenuse. The only answer choice shorter than 8 cm is 7.1 cm.

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2. By the Law of Sines, ...

AB/AC = sin(ACB)/sin(B)

AB = AC·sin(72°)/sin(38°) = 1.545·AC

The approximate value of AC from problem 1 is sufficient to get you close to the answer.

AB ≈ 7.1×1.545 ≈ 10.9 . . . cm