Question

A person has to walk 100 m to go from position X in the north east direction to the position B and then to the west of Y to reach finally at position Z. The position Z is situated at the north ofX and at a distance of 60 m from X. Find the distance between X and Y.

Answer 1

▶️Refer the attachment !

⏺The dist between X and Y is 40

Answer 2

Answer:

= 80 m.

Step-by-step explanation:

GIVEN:- A peson has to walk 100 m to go from position X in the north east direction to the position Y and then to the west of Y to reach finally at position Z is situated at the north of X and at a distance of 60 m from X. Find the distance between Y and Z?

SOLUTION:- As per question the distace between X and Y = 100 m

                     and the distance between X and Z = 60 m

                     Z lies north to X.

                    So, ΔXYZ makes a right triangle.

                    So, the distance between Y and Z can be obtain by using                        Pythagorein theorem.

                   YZ²≈XY²-XZ²

                    YZ²=(100)²-(60)²

                     YZ²= 10000 - 3600

                      YZ² = 6400

                      YZ = √6400

                      YZ = 80 m

Therefore , the distance between the Y and Z is 80m.

THANKS.