Trigonometry and Triangle Properties

The video tutorial explains how to find the distance across a pond using a right triangle. It begins by setting up the problem and identifying the given values, such as the length of one side and an angle. The tutorial then applies trigonometry, specifically the tangent function, to relate the opposite and adjacent sides of the triangle. By using cross-multiplication, the distance is calculated. The final step involves using a calculator to find the precise distance, ensuring the calculator is set to degrees. The tutorial concludes with the final answer of approximately 83.91 feet.

What is the main objective of the problem discussed in the video?

• To determine the volume of water in a pond

• To measure the depth of a pond

• To calculate the distance across a pond

• To find the area of a pond

What shape is primarily used to solve the problem?

• Rectangle

• Right triangle

• Circle

• Square

What is the length of the side labeled 'C to B' in the triangle?

• 200 feet

• 100 feet

• 150 feet

• 50 feet

What is the measure of the angle given in the problem?

• 60 degrees

• 50 degrees

• 40 degrees

• 30 degrees

Which trigonometric function is used to relate the opposite and adjacent sides?

• Cotangent

• Tangent

• Cosine

• Sine

What is the formula for tangent in terms of opposite and adjacent sides?

• Tangent = Opposite / Hypotenuse

• Tangent = Hypotenuse / Opposite

• Tangent = Opposite / Adjacent

• Tangent = Adjacent / Opposite

What is the unknown side labeled in the problem?

• Side AC

• Side CD

• Side BC

• Side AB

How is the equation set up to solve for the unknown side AC?

• Using sine function

• Using cosine function

• Using cotangent function

• Using tangent function

What operation is performed to solve the equation for AC?

• Addition

• Multiplication

• Division

• Subtraction

What tool is suggested to find the value of tangent 40 degrees?

• Ruler

• Protractor

• Calculator

• Compass