Determining Heights Using Shadows

The video tutorial introduces a classic math problem involving proportions, using shadows to determine heights. It compares the heights and shadows of Billy, Corinne, and Ryan to explore proportional relationships. The tutorial sets up ratios to check if they form a true proportion and discusses whether the height of a flagpole can be calculated using these principles.

What is the height of Billy in feet?

• 5 feet

• 6 feet

• 4.95 feet

• 5.5 feet

How long is Billy's shadow?

• 5 feet

• 5.5 feet

• 6 feet

• 4.95 feet

What is the length of the flagpole's shadow?

• 22.5 feet

• 18 feet

• 20 feet

• 25 feet

Can shadows be used to determine the height of an object?

• Only during the day

• Yes, always

• No, never

• Yes, if proportions are used

What is the first step in solving the flagpole height problem?

• Calculate the shadow length

• Measure the flagpole

• Set up a proportion

• Guess the height

How tall is Corinne in inches?

• 63.9 inches

• 64 inches

• 71 inches

• 57.6 inches

What is the length of Ryan's shadow?

• 63.9 inches

• 57.6 inches

• 71 inches

• 64 inches

What is the height of Ryan in inches?

• 64 inches

• 71 inches

• 57.6 inches

• 63.9 inches

What is the length of Corinne's shadow?

• 64 inches

• 71 inches

• 57.6 inches

• 63.9 inches

What is the purpose of setting the ratios equal to each other?

• To check for a proportional relationship

• To find the average

• To determine the difference

• To calculate the sum