Maple town is 16 kilometers due north of the airport and sachet town is due east of the airport. The shortest distance between maple town and sachet town is 20 kilometers. How far is sachet town from the airport?

Sachet town is 12km from the airport

Step-by-step explanation:

In this question, we are asked to calculate the distance from sachet town to the airport.

This can be calculated by referring to a diagrammatic representation. Please check attached file.

Let’s proceed with the calculations however.

From the question, we can see that we have formed a Right angled triangle from the diagram and we need to calculate the distance x.

Mathematically;

x^2 + 16^2 = 20^2

x^2 = 20^2 - 16^2

x^2 = 400 - 256

x^2 = 144

x = sq.rt of 144

x = 12km

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)