Two submarines, one cruising at 25 knots and the other at 20 knots, left a naval base at the same moment. Three hours later, the y were 100 nautical miles apart. What was the measure of the angle between their courses?
1 answer:
<h2>
Measure of the angle between their courses is 95° </h2>
Step-by-step explanation:
Speed of submarine 1 = 25 knots = 28.77 mph
Speed of submarine 2 = 20 knots = 23 mph
Time taken = 3 hours
Distance traveled by submarine 1 = 28.77 x 3 = 86.31 miles
Distance traveled by submarine 2 = 23 x 3 = 69 miles
Distance between them is 100 nautical miles = 115.08 miles
Refer the figure
By cosine formula we have
a = 86.31 miles
b = 115.08 miles
c = 69 miles
Substituting
Measure of the angle between their courses is 95°
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