In ∆ABC, AC = 15 centimeters, ∠B = 68°, and ∠C = 24°. What is BC to two decimal places?
6.58 cm, 9.88 cm,13.57 cm, 16.17 cm, 19.25 cm

Solution:

In ∆ABC,

AC = 15 centimeters

∠B = 68°

∠C = 24°

We know that

∠A + ∠B + ∠C = 180°[by the angle sum property]

It can be written as

∠A = 180° - ∠B - ∠C

Substituting the values

∠A = 180° - 68° - 24°

So we get

∠A = 88°

Using sine law

AC/sinB = BC/sinA

Substituting the values

15/sin 68° = BC/sin 88°

By further calculation

BC = 15 × sin 88°/sin 68°

BC = 16.17 centimeters

Therefore, BC is 16.17 centimeters.

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

Summary:

In ∆ABC, AC = 15 centimeters, ∠B = 68°, and ∠C = 24°. BC to two decimal places is 16.17 centimeters.