Determine the horizontal distance from point A to each mountain peak. 2. State a position vector for each mountain peak, relative to point A. 3. A helicopter takes off from Point A, travels to the peak of Mount Wayne, then to the peak of Mount Rolly, then flies halfway to the peak of Mount Maggie, and lands on a ridge at an altitude of 300 m higher than Point A. Determine the resultant vector of the total flight.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An observer at Point A makes measurements that show that the peak of Mount Wayne lies in a direction of 50 degrees from Point A, with an angle of elevation of
18 degrees. The peak of Mount Rolly lies in a direction of 340 degrees from Point A, with an angle of elevation of 23 degrees. The peak of Mount Maggie lies in a direction of 190 degrees from Point A, at an angle of elevation of 13 degrees. The distance to the peak of Mount Wayne is 2980 m. The distance to the peak of Mount Rolly is 3450 m. The distance to the peak of Mount Maggie is 5130 m.

1. Determine the horizontal distance from point A to each mountain peak.
2. State a position vector for each mountain peak, relative to point A.
3. A helicopter takes off from Point A, travels to the peak of Mount Wayne, then to
the peak of Mount Rolly, then flies halfway to the peak of Mount Maggie, and lands
on a ridge at an altitude of 300 m higher than Point A. Determine the resultant vector
of the total flight.
4. If the average speeds of the segments were 190 km/h, 213 km/h and 174 km/h,
respectively, and it took 2 minutes to land on the ledge, determine the total travel
time to the nearest minute.

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