Solved IB ACIO Question
A solved IB ACIO PYQ — decoded step-by-step.
Solve it the standard way once — then learn the shortcut.
Rohini leaves home and faces north. She walks 33 m east, then turns left and walks 16 m, then right and walks 30 m, then right and walks 32 m to reach a mall. What is the shortest distance from home to the mall?
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
Rohini first faces north at point O.- She walks 33 m east to point A.
Then turns left (faces north) and walks 16 m to point B.- Turns right (faces east) and walks 30 m to point C.
Turns right again (faces south) and walks 32 m to point D (mall).
To find straight line distance OE from O to mall: Calculate total east displacement → OA + AC = 33 + 30 = 63 m Calculate total north displacement → BD = 32 - 16 = 16 m- Apply Pythagoras theorem: OE = √(63² + 16²) = √(3969 + 256) = √4225 = 65 m Thus, the shortest distance from home to mall is 65 meters.