Distance Calculations for Coast Guard Boats

The video tutorial explains how to determine which of two Coast Guard boats is closer to a distressed craft on Lake Ontario using the distance formula. It provides the coordinates of the distressed craft and the two rescue boats, then calculates the distances using the formula. The tutorial concludes that Boat 2 is closer to the distressed craft based on the calculated distances.

What are the coordinates of the distressed boat?

• 0, 0

• 15, -18

• -6, 1

• 23, 3

Which Coast Guard boat is located at coordinates 15, -18?

• Moonlight 4

• Moonlight 1

• Moonlight 3

• Moonlight 2

What is the first step in determining which boat is closer to the distressed craft?

• Calculate the distance from each boat to the distressed craft

• Find the midpoint between the two boats

• Determine the speed of each boat

• Calculate the area of the triangle formed by the boats

What is the formula used to calculate the distance between two points?

• Slope formula

• Distance formula

• Pythagorean theorem

• Midpoint formula

What is the calculated distance from Moonlight 2 to the distressed boat?

• Square root of 100

• Square root of 845

• Square root of 505

• Square root of 441

What is the decimal approximation of the distance from Moonlight 2 to the distressed boat?

• 25.67

• 29.07

• 18.34

• 22.47

What is the calculated distance from Moonlight 4 to the distressed boat?

• Square root of 845

• Square root of 100

• Square root of 441

• Square root of 505

What is the decimal approximation of the distance from Moonlight 4 to the distressed boat?

• 25.67

• 29.07

• 22.47

• 18.34

Which Coast Guard boat is closer to the distressed craft?

• Moonlight 2

• Both are equidistant

• Neither

• Moonlight 4

Why is Moonlight 2 closer to the distressed craft than Moonlight 4?

• It has a smaller calculated distance

• It is faster

• It is newer

• It is larger