Question

A man Travel 7km to east then turns right and travel 3km and further turns right and covers another 11km.how far is he from the starting point?​

Answer 1

$\large\underline{\underline{\mathfrak{\red{\bf{\:QUESTION:-}}}}}$

• A man Travel 7km to east then turns right and travel 3km and further turns right and covers another 11km.how far is he from the starting point?

$\large{\underline{\underline{\mathfrak{\bf{SOLUTION:-}}}}}$.

$\large\boxed{\:In\triangle{ABE}}$

• AB, = 4km

• BE. = 3km

$\large{\underline{\underline{\mathfrak{\bf{Find\:Here:-}}}}}$.

• Distance from starting point AE.

$\large{\underline{\underline{\mathfrak{\sf{Explanation:-}}}}}$.

By Pythagoras theorem ,

We know,

$\large\boxed{\:AE^2\:=\:AB^2\:+\:BE^2}$

$\implies\:AE^2\:=\:(4)^2+(3)^2$

$\implies\:AE^2\:=\:16+9$

$\implies\:AE\:=\sqrt{25}$

$\implies\:AE\:=\:±5$

$\underline{\bold{\:NOTE:-}}$

• Distance always will be positive

So,

• Value of AE = -5 is not exits

So,

Distance between staring point will be. = 5 km

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