need answers to these two questions with work, must find the measurement indicated using the law of sines. round answer to the n

Question

2 years ago

9

earest tenth.

1 answer:

sweet [91] · Answer 1 · 2023-06-09T17:09:27+03:00

Applying the law of sines, the measurement indicated are:

7. AB = 24.1 cm

8. BC = 28.0 in.

<h3>What is the Law of Sines?</h3>

Law of sines is: sin A/a = sin B/b = sin C/c.

7. AB (c) = ?

BC (a) = 22 cm

A = 180 - 138 - 22 = 20°

C = 22°

Apply the law of sines:

sin 22/AB = sin 20/22

AB = (sin 22 × 22)/sin 20

AB = 24.1 cm

8. BC (a) = ?

A = 58°

AC (b) = 33 in.

B = 180 - 58 - 33 = 89°

Apply the law of sines:

sin 58/BC = sin 89/33

BC = (sin 58 × 33)/sin 89

BC = 28.0 in.

Learn more about the law of sines on:

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