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.

What is the first step recommended when tackling word problems involving geometry?

• Memorize all formulas

• Ignore the problem statement

• Calculate immediately

• Draw a diagram

What type of angle is formed between the ground and the house in the ladder problem?

• Straight angle

• Right angle

• Obtuse angle

• Acute angle

Which trigonometric function is used to find the height the ladder reaches on the wall?

• Sine

• Secant

• Tangent

• Cosine

What is the length of the ladder used in the problem?

• 15 feet

• 20 feet

• 10 feet

• 12 feet

What is the calculated height that the ladder reaches on the wall?

• 11.5 feet

• 8.5 feet

• 9.5 feet

• 10.06 feet