During World War II Great Britain built a number of radar stations along its coa

Question

During World War II Great Britain built a number of radar stations along its coastline in order to track incoming German airplanes. Suppose you manning the radar station in the southern coastal town of Pevensey. Your orders are to use the data provided by the radar to calculate the heading and the airspeed of any approaching aircraft. At radar station detects an airplane at a bearing of 170 and a distance of 120 miles. Five minutes later, the airplane is at a bearing of 165 and a distance of 105 miles. 23. Calculate the airspeed of the plane to the nearest mile per hour and 170 circle your answer 5: 129. first reading from radar tower A. 321 mph s: los lusal P 215 mph C. 180 mph v zwy D. none of these 24. Calculate the heading of the plane to the nearest degree and circle your answer. A. 21 B. 31 C. 5° D. none of these 25. Use your rounded answers from #23 and 24 to calculate what the bearing and distance of the plane will be at 11:00 PM. B. 1260 at 12 miles A. 80 at 58 miles D. none of these C. 88 at 67 miles

Explanation / Answer

25- The answer is "D" Option.

As we can see that at every 5° interval there is a decrease of 15 miles i.e from the source when at 10:24 am bearing 170° get reduced to 165° the distance is reduced from 120 miles to 105 miles. Now, this means that at time taken is 36 minutes hence, the distance per minute reduced is 3 miles therefore for 36 minutes it will be reduced to 108 minutes i.e 12 miles but the bearing reduced per minute is 1° therefore for 36 minutes it will reduce to 36° i.e 134°. There is no option like 134° & 12miles therefore None of these is the correct answer.

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