Question

In ∆ABC, AC = 15 centimeters, m B = 68°, and m C = 24°. What is BC to two decimal places?

a.6.58 centimeters
b.9.88 centimeters
c,13.57 centimeters
d.16.17 centimeters
e.19.25 centimeters

Answer 1

Option C). To find the length of BC in triangle ABC, we can use the Law of Sines. Using the given angles and side lengths, we can solve for BC and find its approximate length.

Step-by-step explanation:

To find the length of BC, we can use the Law of Sines. In triangle ABC, we have the angle B as 68° and the angle C as 24°. We also know that AC is 15 centimeters. The Law of Sines states that:

sin(B) / BC = sin(C) / AC

Using the given values, we can solve for BC:

sin(68°) / BC = sin(24°) / 15

BC = (sin(68°) / sin(24°)) * 15

We find that BC is approximately 13.57 centimeters (option c).