Trigonometry and Angles in Context

Kevin visits New York City and observes the Statue of Liberty, wondering about its height. By using binoculars, he notices an angle of 10.5 degrees from the base to the torch. The video explains how to form a right triangle and use trigonometric ratios, specifically tangent, to calculate the height. The process involves understanding right angles, triangle sides, and using a calculator to find the tangent of the angle. Ultimately, Kevin calculates the height of the Statue of Liberty to be 304 feet, demonstrating the practical application of trigonometry.

What angle did Kevin observe from the base to the top of the Statue of Liberty's torch?

• 20 degrees

• 15 degrees

• 10.5 degrees

• 5 degrees

What tool does Kevin use to determine the angle from the base to the torch?

• Compass

• Telescope

• Binoculars

• Protractor

What is the angle formed from the base to the top of the Statue of Liberty's torch?

• 10.5 degrees

• 5 degrees

• 20 degrees

• 15 degrees

What shape does Kevin form to help calculate the height of the Statue of Liberty?

• Rectangle

• Right Triangle

• Circle

• Square

Which side of a right triangle is opposite the right angle?

• Adjacent leg

• Opposite leg

• Hypotenuse

• Base

What is the hypotenuse in a right triangle?

• The side adjacent to the given angle

• The longest side

• The shortest side

• The side opposite the given angle

How do you calculate the sine of an angle in a right triangle?

• Opposite leg divided by hypotenuse

• Adjacent leg divided by hypotenuse

• Opposite leg divided by adjacent leg

• Adjacent leg divided by opposite leg

Which trigonometric ratio involves dividing the opposite leg by the hypotenuse?

• Tangent

• Cosine

• Sine

• Cotangent

Which trigonometric ratio is used when the adjacent leg is known but not the hypotenuse?

• Sine

• Secant

• Cosine

• Tangent

What is the formula for the tangent of an angle in a right triangle?

• Adjacent leg divided by hypotenuse

• Opposite leg divided by hypotenuse

• Adjacent leg divided by opposite leg

• Opposite leg divided by adjacent leg