Question

Anita drives from point A towards north and travels 30km .she then turns her right and tarvels 4km and then again turns to the right and drives straight 30km . How far is she from her strating point A and in which direction? (direction sense reasoning) ​

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore AD=3\:km}}$

${\bold{\underline{\underline{Step-by-step\:explanation}}}}$

• In the given question information given about a women Anita drives from point A towards north and travels 30km .she then turns her right and tarvels 4km and then again turns to the right and drives straight 30km .

• We have to find how far is she from her strating point A and in which direction?

$\underline \bold{Given :} \\ \implies AB = 30 \: km \\ \\ \implies BC= 4 \: km \\ \\ \implies CD= 30 \: km \\ \\ \underline \bold{To \: Find:} \\ \\ \implies AD = ?$

• According to given question :

$\bold{By \: Phythagoras \: Theoram : } \\ \\ \bold{In \: Right \: angled \triangle \: ABC: } \\ \implies {AC}^{2} = {AB}^{2} + {BC}^{2} \\ \\ \implies {AC}^{2} = {30}^{2} + {4}^{2} \\ \\ \implies {AC}^{2} = 900 + 16 \\ \\ \bold{\implies AC = \sqrt{916} \: km }\\ \\ \bold{In \: Right \: angled \triangle \: ACD : } \\ \implies {AC}^{2} = {AD}^{2} + {CD}^{2} \\ \\ \implies ( \sqrt{916})^{2} = {AD}^{2} + {30}^{2} \\ \\ \implies 916 - 900 = {AD}^{2} \\ \\ \implies AD= \sqrt{16} \\ \\ \bold{\implies AD = 4 \: km} \\ \\ \bold{\therefore Anita \: is \: 4 \: km \: eastward \: direction} \\ \bold{ \: \: \: \: apart \: from \: point \: A \: }$

Answer 2

Step-by-step explanation:

Answer

Hey Refers to this attachment