Trigonometry in Real-Life Scenarios

The video tutorial provides a practical example of using trigonometry to calculate the height of a cliff. Jackie, who is on a boat, measures the angle of elevation to the top of a cliff. The tutorial explains how to use this angle and the distance from the boat to the cliff to calculate the height using trigonometric ratios, specifically the tangent function. The process involves determining the correct ratio, applying it, and performing calculations to find the height, which is rounded to the nearest meter. The video concludes with a reminder to check additional resources and subscribe for more math content.

What is Jackie doing on the boat?

• Reading a book

• Swimming

• Sailing and measuring angles

• Fishing

What is the distance from Jackie to the cliff?

• 300 meters

• 600 meters

• 400 meters

• 500 meters

What is the angle of elevation Jackie measures?

• 30 degrees

• 32 degrees 15 minutes

• 35 degrees

• 40 degrees

Which trigonometric ratio is used to calculate the height of the cliff?

• Sine

• Cotangent

• Cosine

• Tangent

What is the formula used to find the height of the cliff?

• H = 500 x sin(32 degrees 15 minutes)

• H = 500 x cos(32 degrees 15 minutes)

• H = 500 x cot(32 degrees 15 minutes)

• H = 500 x tan(32 degrees 15 minutes)

What is the value of tan(32 degrees 15 minutes) used in the calculation?

• 0.831

• 0.731

• 0.631

• 0.531

What is the calculated height of the cliff to the nearest meter?

• 310 meters

• 315 meters

• 320 meters

• 325 meters

What is the purpose of using trigonometry in this scenario?

• To measure the depth of the water

• To measure the width of the boat

• To measure the height of the cliff

• To measure the distance to the cliff

What additional resources are mentioned at the end of the video?

• Website with cheat sheets and videos

• Podcasts

• Webinars

• Books

What is the website mentioned for more math resources?

• http://www.mathvideos.com

• http://www.learnmath.com

• http://www.vividmaths.com

• http://www.mathresources.com