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((x_2+x_1)/(2),\:\:(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((-29.82-24.98)/(2),\:(31.58+31.58)/(2)\right)`.

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

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