Trigonometry in Real-World Applications

The video tutorial explains how to calculate the height of a cliff using trigonometry. Jackie, who is on a boat, measures the angle of elevation to the top of a cliff. The tutorial guides viewers through the process of using trigonometric ratios, specifically the tangent function, to determine the height of the cliff based on the angle and distance from the base. The video concludes with a final calculation and encourages viewers to explore additional resources on the website.

What is the distance from Jackie to the cliff?

• 300m

• 400m

• 600m

• 500m

What angle did Jackie measure from her boat to the top of the cliff?

• 30 degrees

• 40 degrees

• 32 degrees 15 minutes

• 35 degrees

What is the primary trigonometric function used to calculate the height of the cliff?

• Sine

• Cosine

• Tangent

• Secant

What is the benefit of using trigonometry in this scenario?

• It allows height measurement without physical measurement

• It provides an exact measurement

• It is faster than other methods

• It requires no calculations

What does the 'adjacent' side refer to in this scenario?

• The height of the cliff

• The distance from the boat to the cliff

• The angle of elevation

• The top of the cliff

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

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

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

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

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

What is the value of tan(32 degrees 15 minutes) as calculated?

• 0.531

• 0.631

• 0.831

• 0.731

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

• 315m

• 325m

• 320m

• 310m

What is the purpose of multiplying both sides of the equation by 500?

• To find the distance

• To convert units

• To isolate the angle

• To solve for H

What additional resources are available on the Vivid Maths website?

• Live tutoring

• Math competitions

• Math games

• Cheat sheets