Question

Rahul walks $90$ m to the east from point $A,$ then turns right and walks $90$ m and then turns left and walks $60$ m. At last, he turns left and walks $10$ m, and reached point $B$. Then the distance between point $A$ and point $B$ is

• A. $120$ m
• B. $160$ m
• C. $170$ m
• D. $190$ m

Answer 1

The correct option is C $170$ m


Using Pythagoras theorem in right triangle $AFB,$
$AB=\sqrt{A{F}^2+B{F}^2}=\sqrt{{150}^2+{80}^2}=10\sqrt{{15}^2+8^2}=10\sqrt{225+64}=10\sqrt{289}$
$=10\times 17=170$ m