p,q and r are points on the same horizontal plane. The bearing of q from p is 150 degree and the bearing of r from q is 060 degree. if pq is 5m and qr is 3m,find the bearing of r from p

Answer :

Answer:

To solve this problem, we can first draw a diagram to visualize the situation.

Let's denote the points as follows:

- P is the starting point.

- Q is the point that is 150 degrees from P.

- R is the point that is 60 degrees from Q.

From the information given, we know that PQ is 5m and QR is 3m.

To find the bearing of point R from point P, we can use the concept of bearings in navigation. The bearing of a point is the angle measured clockwise from the north direction to the line joining the two points.

First, we need to find the direction from P to Q:

Since the bearing of Q from P is 150 degrees, the direction from P to Q is 150 degrees clockwise from the north direction.

Next, let's find the direction from Q to R:

Since the bearing of R from Q is 60 degrees, the direction from Q to R is 60 degrees clockwise from the line segment joining Q to R.

Now, to find the total bearing from P to R, we add the bearings of P to Q and Q to R:

Total bearing from P to R = (150 degrees + 60 degrees) degrees

Total bearing from P to R = 210 degrees

Therefore, the bearing of point R from point P is 210 degrees.

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