Question

7. A man goes 36 m due east and 15 m due north. Find the distance between his starting point and the terminating point?​

Answer 1

Answer:

39 cm

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Answer 2

Answer:

The distance between his starting point and the terminating point is 39m.

Step-by-step explanation:

Let the starting point be O.

The man goes 36m towards East.

Let that point be A.

From there, he goes 15m towards North.

Let that point be B.

The distance between the starting point and the terminating point is the distance BO.

The points form a right- angled triangle, right angled at A.

Pythagores Theorem states that (Hypotenuse)² = (Base)² + (Perpendicular)²

Therefore, here,  (OB)² = (OA)² + (AB)²

                      =>   (OB)² = 36² + 15²

                      =>   (OB)² = 1296 + 225

                      =>   (OB)² = 1521

                      =>   OB = √ 1521

                      =>   OB = 39

Therefore,  the distance between his starting point and the terminating point is 39m.

Find the attached picture for illustrations.