Problem 10

A weather report shows that a tornado was sighted 12 km south and 23 km west of your town. The storm is reported to be moving directly towards your town at a speed of 82 km/hr.

a. What distance from your town was the tornado sighted?

b. Approximately how much time (in minutes and hours) will elapse before the storm arrives at your town?

Question

25-07-2024
Mathematics

Answered

Problem 10

A weather report shows that a tornado was sighted 12 km south and 23 km west of your town. The storm is reported to be moving directly towards your town at a speed of 82 km/hr.

a. What distance from your town was the tornado sighted?

b. Approximately how much time (in minutes and hours) will elapse before the storm arrives at your town?

Answer :

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Final answer:

The answer provides the distance from the town where the tornado was sighted and calculates the time it will take for the storm to reach the town accurately.

Explanation:

a. The distance from the town to where the tornado was sighted can be found using the Pythagorean theorem: distance = sqrt((12 km)^2 + (23 km)^2) = sqrt(144 + 529) = sqrt(673) km ≈ 25.93 km.

b. To calculate the time it takes for the storm to reach the town, divide the distance by the speed: time = distance / speed = 25.93 km / 82 km/hr ≈ 0.32 hours or 19.2 minutes.

Learn more about Distance and Time Calculations in Mathematics here:

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