Question

I am at the Kruger National Park in Skukuza with the latitude and longitude coordinates (-24.98,31.58). My friends are exploring the Nelson Mandela Musuem in Mpumalanga at (-29.82,31.58). We are going to meet exactly in between our coordinates Where will we be meeting?

Answer 1

Given  Kruger National Park in Skukuza coordinate : (-24.98,31.58).

Nelson Mandela Musuem in Mpumalanga coordinate : (-29.82,31.58).

We need to find exactly in between given coordinates.

We know, mid - point formula :  

$\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right).$

$\left(x_1,\:y_1\right)=\left(-24.98,\:31.58\right),\:\left(x_2,\:y_2\right)=\left(-29.82,\:31.58\right)$

$=\left(\frac{-29.82-24.98}{2},\:\frac{31.58+31.58}{2}\right)$.

$=\left(-27.4,\:31.58\right)$.

Therefore, will be meeting at (-27.4, 31.58).