A boy walk 1260 m on a bearing of 120 how far south is he from his starting point.
d = 1260m[120o] CW from +y-axis.
Y = 1260*Cos120 = -630 = 630 m. South.
A boy walk 1260 m on a bearing of 120 how far south is he from his starting point.
What is 120*sin30?
630m
To find out how far south the boy is from his starting point, we need to understand the concept of a bearing and how it relates to cardinal directions.
A bearing is a measure of the direction from one point to another, usually expressed as an angle relative to the north direction. In this case, the bearing of 120 means the direction is 120 degrees clockwise from the north direction.
To determine how far south the boy is from his starting point, we need to calculate the component of the distance that is in the south direction. Here's how you can do it:
1. Draw a diagram: Draw a compass rose or a simple sketch that represents the starting point as well as the direction of the boy's walk.
2. Identify the angle: The bearing of 120 degrees means the boy is walking 120 degrees clockwise from the north direction.
3. Calculate the angle difference: Since we want to find the distance in the south direction, we need to find the angle difference between the boy's bearing and the south direction. In this case, the south direction is 180 degrees. To find the difference, subtract the boy's bearing from 180: 180 - 120 = 60 degrees.
4. Calculate the distance: Using trigonometry, we can calculate the distance south by using the formula: south distance = total distance * cos(angle). In this case, the total distance is 1260m and the angle is 60 degrees.
south distance = 1260m * cos(60°)
south distance = 1260m * 0.5
south distance = 630m
Therefore, the boy is 630 meters south from his starting point.
So correct
D=1260*cos60(90+90+90+90=360.Bearing of120degree i.eN and S=90+90=180.180-120=60)
Ans.=630degree.
A boy work 1260m on a bearing of 120 degree. How far south is he from his starting point
To solve this problem, we need to use trigonometry. We can break down the direction that the boy walked into its north-south and east-west components using sine and cosine functions.
From the given bearing of 120 degrees, we can see that the boy walked southeast. We can find the south component of his displacement by using the sine function:
sin(120) = opposite/hypotenuse
sin(120) = south/1260
south = 1260 * sin(120)
south = -1092.5
Note that the negative sign indicates that the displacement is in the opposite direction of the positive y-axis (upwards). Therefore, to find the distance south of his starting point, we need to take the absolute value of the displacement:
|south| = |-1092.5| = 1092.5 meters
So the boy is 1092.5 meters south of his starting point.
Apologies for the confusion in my previous response. Let's solve the problem correctly this time.
To find how far south the boy is from his starting point, we need to calculate the south component of his displacement.
Given:
Distance walked (d) = 1260 meters
Bearing = 120 degrees
To find the south component, we need to calculate the projection of the distance walked onto the south direction. This can be done using the sine function.
Using the sine function:
sin(120) = opposite/hypotenuse
sin(120) = south/1260
Solving for south:
south = 1260 * sin(120)
south = 1260 * 0.866
south = 1093.56 meters (rounded to two decimal places)
Therefore, the boy is approximately 1093.56 meters south of his starting point.