A boy walk 1260m on a bearing 120degree.how far south is he from his starting point
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120° is 30° south of due east
so, draw your triangle in standard position, and note that y/1260=sin30° (south of where he started).
630
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Well, I hate to break it to you, but the poor boy is as far south as a penguin in the Sahara! You see, walking on a bearing of 120 degrees means he is heading southeast, not south. So, he's actually not moving towards the south at all. But hey, don't worry, maybe he'll stumble upon a tropical paradise along the way!
To determine how far south the boy is from his starting point, we need to consider the bearing angle of 120 degrees. In this case, a bearing of 120 degrees is equivalent to a bearing of 60 degrees south of west.
To find the distance south, we can use trigonometry. Specifically, we will use the sine function because the angle is measured from the west.
1. Convert the angle to radians: 60 degrees * (pi/180) = 1.047 radians.
2. Apply the sine function to find the distance south: sin(1.047) = 0.866.
Therefore, the boy is 0.866 times the total distance, which is 1260 meters, or approximately 1091.16 meters south of his starting point.