Trigonometry and Word Problems

The video tutorial demonstrates solving a worded problem using Powtoon for visualization. It involves setting up a problem with a point 10 meters from a house and an angle of elevation of 38 degrees. The problem is represented as a right angle triangle, and trigonometry is used to find the house's height. The solution involves using the tangent function and a calculator, with the final answer rounded to the nearest centimeter.

What tool does the teacher recommend for visualizing worded problems?

• PowerPoint

• Canva

• Powtoon

• Prezi

Why is it important to draw diagrams when solving worded problems?

• They make problems more colorful.

• They help in understanding the problem better.

• They are required for all math problems.

• They make the problem longer.

What is the horizontal distance from the point to the base of the house?

• 15 meters

• 20 meters

• 10 meters

• 5 meters

What is the angle of elevation to the highest point of the house?

• 30 degrees

• 38 degrees

• 45 degrees

• 50 degrees

In the right-angle triangle formed, what is the side opposite to the angle of elevation?

• The base of the house

• The adjacent side

• The height of the house

• The hypotenuse

Which trigonometric ratio is used to solve for the height of the house?

• Secant

• Tangent

• Cosine

• Sine

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

• Tangent = Adjacent / Opposite

• Tangent = Opposite / Adjacent

• Tangent = Hypotenuse / Opposite

• Tangent = Opposite / Hypotenuse

What is the value of x, the height of the house, before rounding?

• 7.912 meters

• 8.123 meters

• 8.001 meters

• 7.812 meters

To how many decimal places should the height of the house be rounded?

• One

• Three

• Two

• Four

What is the final rounded height of the house in meters?

• 7.81 meters

• 7.82 meters

• 7.80 meters

• 7.83 meters