Question

using a scale: Three boys Isaac ,Alex and Ken are standing in different parts of a field .Isaac is 100 metres north of Alex and Ken is 120 metres east of Alex .Find the compass bearing of Ken from Isaac​

Answer 1

156 m South East of Isaac

Step-by-step explanation:

This is going to be solved by using Pythagoras theorem

We have the adjacent of the triangle as the Eastern distance between Ken and Alex, and that is 120 m. We have the opposite side to be the Northern distance between Isaac and Alex to be 100 m

If so, then we know that the hypotenuse side is the distance between Isaac and Ken. Using Pythagoras, we know that

100² + 120² = x²

x² = 10000 + 14400

x² = 24400

x =√24400

x = 156.2 m

The compass bearing of Ken, from Isaac then is,

Ken is 156.2 m South East of Isaac