In a right angle triangle ABC, angle B measures 60° and BC is 18. What is the length of AC?

Solution:

Given angle B is 60° and side BC is 18 units

Let us consider the triangle ABC as shown

The length BC = a = 18 units ,

We know using the trigonometric ratio tanθ = opposite side/ adjacent side

Here, the opposite side is BC and the adjacent side is AC

Tan (60°) = BC/AC = 18/AC

√3 = 18/AC

AC = (18) /√3

AC =6√3

AC = 10.4

Hence, the side length AC is 10.4 units

In a right angle triangle ABC, angle B measures 60° and BC is 18. What is the length of AC?

Summary:

In a right angle triangle ABC, angle B measures 60° and BC is 18, then the length of AC is 10.4 units