A point p is 40km from q on a bearing of 61 calculate the place of north of q and east of q
Still nope.no diagram
No
No diagram
Nope. No diagram
Not helpful
To calculate the location of a point north and east of Q, we can use the concept of trigonometry.
First, let's understand the bearing. In a bearing angle, the direction is measured clockwise from the north. A bearing of 61 degrees implies that we are moving 61 degrees clockwise from the north.
Now, to calculate the distance north of Q, we need to find the north component. We can use the sine function to calculate this. The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.
In this case, the distance north of Q is the opposite side, and the hypotenuse is the total distance (40 km). So, we can calculate the distance north (N) using the following equation:
N = sin(61°) * 40 km
Next, let's calculate the distance east of Q. We can use the cosine function to find the east component. The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.
In this case, the distance east of Q is the adjacent side. So, we can calculate the distance east (E) using the following equation:
E = cos(61°) * 40 km
Therefore, the point P is located N kilometers north and E kilometers east of Q.
did you draw a diagram? If so, it should be clear that p's coordinayes relative to q are
40 cos61° N and 40 sin61° E