Question

A robot moved 10 meters towards north. It then turned 44 degrees to its right and moved another 10 meters. It then turned 55 degrees to its right and moved another 10 meters. Last, it turned x degrees to its right. The robot was facing south after the last move. What is x?

Answer 1

81

Explanation:

The turning angle is not affected by how long the robot moved.

We need to consider only the turning degrees from facing North to facing South, which is 180 degrees.

x = 180 - 44 - 55 = 81

Answer 2

x = 81

Explanation:

You're only concerned with angles in this problem. The initial bearing is 0° (measured clockwise from north). After the first turn, it is 44°. After the second turn, it is 44° +55° = 99°. After the third turn, it is 180° (south), so the last turn is found from ...

99° + x° = 180°

x = 180 -99 . . . . . divide by ° and subtract 99

x = 81