3 years ago

What is the measure of angle A?

Mathematics

1 answer:

Paladinen [302]3 years ago

8 0

Answer:

38 degrees

Step-by-step explanation:

The angle can be found using the Law of Cosines:

a² = b² +c² -2bc·cos(A)

cos(A) = (b² +c² -a²)/(2bc) = (3² +7² -5²)/(2·3·7) = 33/42

A = arccos(33/42) ≈ 38.213°

The measure of angle A is about 38°.

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