Understanding Visibility and Altitude

The video tutorial explains how to determine the altitude at which a person can see a certain distance using a given formula. The problem involves calculating the altitude when the visibility is known to be 150 miles. The tutorial walks through the steps of isolating the variable, simplifying the equation, and performing calculations to find the altitude, assumed to be in feet. The final result is approximately 14,993 feet.

What is the formula used to estimate visibility on a clear day?

• v = 1,225 * sqrt(a) / 1,000

• v = 1,000 * sqrt(a) / 1,225

• v = 1,225 / sqrt(a) * 1,000

• v = sqrt(a) / 1,225 * 1,000

In the problem statement, how far can Jerome see?

• 250 miles

• 200 miles

• 150 miles

• 100 miles

What is the visibility in miles when the altitude is unknown?

• 200 miles

• 150 miles

• 100 miles

• 250 miles

Tags

CCSS.8.EE.A.2

What is the first step in solving for altitude when given visibility?

• Isolate the square root of a

• Multiply both sides by 1,225

• Divide both sides by 1,000

• Add 1,000 to both sides

Tags

CCSS.HSA.REI.A.2

What operation is performed to both sides of the equation to isolate the square root of a?

• Addition

• Subtraction

• Division

• Multiplication

Tags

CCSS.7.NS.A.2A

Which numbers are used to simplify the equation by canceling common factors?

• 6,000 and 49

• 150 and 1,225

• 25 and 49

• 1,000 and 1,225

Tags

CCSS.8.EE.A.2

What is the simplified form of the equation before squaring both sides?

• 49 / 6,000 = sqrt(a)

• 150 / 1,225 = sqrt(a)

• 1,225 / 1,000 = sqrt(a)

• 6,000 / 49 = sqrt(a)

Tags

CCSS.8.EE.A.2

What is the final step to find the altitude in the given problem?

• Divide by 49

• Square both sides of the equation

• Subtract 1,225

• Multiply by 6,000

What is the altitude in feet when Jerome can see 150 miles?

• 15,993 feet

• 14,000 feet

• 15,000 feet

• 14,993 feet

Tags

CCSS.2.MD.A.3

What assumption is made about the unit of altitude in the problem?

• Altitude is in meters

• Altitude is in kilometers

• Altitude is in feet

• Altitude is in miles

Tags

CCSS.2.MD.A.3