The aeroplane and the boat

Calculus Level 2

An airplane passes directly over a boat at a height of 2 miles. The plane is going north at 400 mph and does not change its altitude. The boat is going west at 50 mph. How rapidly is their distance from each other increasing after one hour?


The answer is 403.1079.

Eddie The Head by Eddie The Head , 27, India

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3 solutions

Rindell Mabunga
Apr 8, 2014

Without Calculus: I used a rectangular prism to illustrate their position after 1 hour

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Can you show the process? With calculus i got almost 400.

Erfan Huq - 4 years, 4 months ago
梦 叶
Dec 13, 2016

The plane goes to the north and the boat goes to the west, we can draw a triangle

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ahmed Ghonaim
Mar 21, 2014

[(50 root 65)^2 + 2^2] - 2= 401.1178488

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