Applying the Pythagorean Theorem and Trigonometric Ratios to Solve Word Problems

The video tutorial guides viewers through solving a real-world problem involving a right triangle park. It covers the application of the Pythagorean theorem and trigonometric ratios to find the lengths of the triangle's sides. The lesson begins with an introduction to the problem, followed by a review of the Pythagorean theorem. It then demonstrates how to set up the problem, draw a diagram, and use the tangent ratio to find one side's length. Finally, it applies the Pythagorean theorem to find the hypotenuse, concluding with a summary of the solution and learning outcomes.

What is the shape of the park that the local parks department wants to build?

• Rectangle

• Square

• Right Triangle

• Circle

Which trigonometric ratio is used to find the length of the side along Parallel Road?

• Secant

• Tangent

• Sine

• Cosine

If the tangent of 58 degrees is used to find a side of the triangle, what is the length of that side approximately?

• 18 yards

• 10 yards

• 20 yards

• 16 yards

What theorem is used to find the hypotenuse of the triangle?

• Law of Cosines

• Pythagorean Theorem

• Law of Sines

• Area Theorem

What is the approximate length of the hypotenuse of the park?

• 16 yards

• 18.9 yards

• 20 yards

• 22 yards