A boy walk 1260 m on a bearing of 120 how far south is he from his starting point.
What is 120*sin30?
A boy walk 1260 m on a bearing of 120 how far south is he from his starting point.
8 answers
d = 1260m[120o] CW from +y-axis.
Y = 1260*Cos120 = -630 = 630 m. South.
Y = 1260*Cos120 = -630 = 630 m. South.
So correct
D=1260*cos60(90+90+90+90=360.Bearing of120degree i.eN and S=90+90=180.180-120=60)
Ans.=630degree.
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.
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.
630m
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.
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.
2 answers