Home > INT3 > Chapter 12 > Lesson 12.1.3 > Problem12-50

12-50.

Ingrid is standing at the Schoolyard Express chairlift, which is $412$ feet from the base of the Broadway chairlift and $348$ feet from the entrance to the lodge. The angle made by looking at the Broadway chairlift and the lodge is $39^\circ$. How far is the base of the Broadway chairlift from the lodge?

Draw a diagram.

Use the Law of Cosines.

$≈ 261$ feet