Using trigonometric functions to solve a word problem

The video tutorial explains how to solve a word problem involving a 12-foot ladder leaning against a house, forming a 57-degree angle with the ground. The instructor emphasizes the importance of drawing diagrams to visualize the problem. The tutorial covers the application of trigonometric functions, specifically the sine function, to calculate the height at which the ladder touches the wall. The solution involves using the sine of the angle to find the opposite side of the triangle formed by the ladder, ground, and wall. The final calculation shows that the ladder reaches a height of approximately 10.06 feet on the wall.

How do you calculate the height (X) using the sine function?

What is the final height of the ladder on the wall?