Calculus 1 Question

Question

Your target is 500 meters north, 300 meters west, 500 meters below you. Is the target within 1000 meters?

Answer 1

This is a 3D question.

Let the typical NS and WE map be the xy plane

With z the height.

Then:

x = - 300

y = 500

z = -500

D = sqrt(x^2 + y^2 + z^2)

D = sqrt[ (-300)^2 + (500)^2 + (-500)^2 ]

D = sqrt[ 590000 ]

D = 768.11

Yes, the target is within 1000 meters.