A tourist drives 10 km towards East and turns to his right and takes a drive of another 3 km. He then turns to his left and walks another 5 km. After that, he turns to his right and travels 5 km How far is he from his starting point and in which direction?

Options

A. 15 km East
B. 16 km North
C. 13 km West
D. 17 km South

Explanation

`A F = AB + BF`
`=10+2=12 km`
`FE =FD + ED =7+3=10 km`
`(AE)^(2)) = (AF)^(2) + (EF^(2))`
`=(12)^(2) +(10)^(2)`
`AE = sqrt(144+ 100) = sqrt(244)`
`= 2 sqrt(61) km`.
South- East