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Faraz went on a cross-country trip. From the base camp, he went 4 km straight towards east. Then taking a left turn, he went for 2 km. from there, he turned right and went for 2 km. Then, he turned left and went another 6 km to reach a lake. What is the shortest distance from the base camp to the lake?

Faraz went on a cross-country trip. From the base camp, he went 4 km straight towards east. Then taking a left turn, he went for 2 km. from there, he turned right and went for 2 km. Then, he turned left and went another 6 km to reach a lake. What is the shortest distance from the base camp to the lake? Correct Answer 10 km

Drawing diagram according to the given information,

[ alt="F2 S.Y Pallavi 12-Nov-2019 D 4" src="//storage.googleapis.com/tb-img/production/19/11/F2_S.Y_Pallavi_12-Nov-2019_D%204.png" style="width: 405px; height: 347px;">

 

Shortest distance between base camp and lake, using the Pythagoras theorem,

Distance = √(62 + 82) = √(36 + 64) = √100 = 10km

Hence “ 10 km” is the correct answer.

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