KnowledgeBoat Logo
|

Mathematics

A man goes 40 m due north and then 50 m due west. Find his distance from the starting point.

Pythagoras Theorem

22 Likes

Answer

Let A be the initial position of the man.

A man goes 40 m due north and then 50 m due west. Find his distance from the starting point. Pythagoras Theorem, Concise Mathematics Solutions ICSE Class 9.

From figure,

ABC is a right-angled triangle.

By pythagoras theorem,

⇒ (Hypotenuse)2 = (Perpendicular)2 + (Base)2

⇒ AC2 = AB2 + BC2

⇒ AC2 = 402 + 502

⇒ AC2 = 1600 + 2500

⇒ AC2 = 4100

⇒ AC = 4100\sqrt{4100}

⇒ AC = 64.03 m.

Hence, distance from starting point is 64.03 meters.

Answered By

14 Likes

Related Questions