Answer :
Answer:
c = 22.8 miles/hr
Step-by-step explanation:
The ship A sails north at the rate of 14 mile per hour , it represent the opposite side of a triangle. Ship B start at the same point and move east at the rate of 18 miles per hour, it represent the adjacent side.
The other rate telling you how fast the distance between them are changing can be computed using the Pythagorean theorem, since the change in time is 1 hour. From 12 noon to 1 pm.
c = ?
a = 14
b = 18
c² = a² + b²
c² = 14² + 18²
c² = 196 + 324
c² = 520
c = √520
c = 22.803508502
c = 22.8 miles/hr
The fast is the distance between them changing at 1 p.m. is c = 22.8 miles/hr.
Calculation of the fastest distance:
Since
Ship A sails north at 14 mph, and ship B sails east at 18 mph.
So here we use Pythagoras theorem.
c² = a² + b²
c² = 14² + 18²
c² = 196 + 324
c² = 520
c = √520
c = 22.803508502
c = 22.8 miles/hr
hence, The fast is the distance between them changing at 1 p.m. is c = 22.8 miles/hr.
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