/ 12. A cruise ship has a speed (with respect to the water) of 26 knots, and sails on aheading of S40°E. The current has a velocity of 12 knots, S10°W.a) Determine the velocity of the ship relative to the earth.b) After spending the day in port, the ship heads to a new island that is N40°E of itscurrent position. What direction must the captain steer to maintain this direction?c) The new island is 600 nautical miles away. How long will it take to sail there?

(a) Consider the diagram as per given information, Here we need to find the velocity of boat…

Answered: 12. A cruise ship has a speed (with…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A ship leaves port and travels 25 miles in the direction N 61° E. Another ship leaves the same port and travels 19 miles in the direction N 39° W. Approximately how far apart are the two ships
14. A plane is flying with an airspeed of 185 miles per hour with heading 120°. The wind currents are running at a constant 32 miles per hour at 165° clockwise from due North. Find the true course and ground speed of the plane.
Two planes leave a port at the same time and travel for two hours. One travels 42 miles in a direction N33°W and the other travels 58 miles in a direction S39°W. How far apart are the two planes after the two hours of travel?
Construct a quadrilateral ROAD where RO= 4.5cm, OA=5.2cm, AD=6.4cm ∆O=105°and ∆A= 75°
A boat is 14 miles west and 18 miles south of an island. What bearing should the boat take to travel directly to the island?
Please give me answers in 5min I will give you like sure
6. To get to Michael's house, Angela leaves her house travelling at 40 km/h along a road in an easterly direction for 45 min. She then takes a 30° right turn onto a second road and travels at 50 km/h for 30 min before arriving at Michael's house. Determine an exact expression for the distance between the two houses.
a pilot must actually fly due west at a speed of 382 mph against a head wind of 55 mph blowing in the direct 22° south of east. What direction and speed must the pilot maintain to keep on course?
9. A surveyor is mapping a large marsh in a state park. He walks and measures a straight line south from a cliff for 0.75 mile to a large tree. He walks east, but he has to make a detour around the marsh. He gets around the marsh to a spot where he is perpendicular to the large tree and the trail he originally walked south on. He looks northwest and measures a 40° angle (ZA) northwest to the cliff from his line of sight to the large tree. He measures the distance back to the starting point at the cliff as 1.17 miles. What is the straight-line distance from the large tree east to ZA? What is the tangent of ZB , the angle at the cliff? Clff 0.75 mile 1.17 mile 40 Tree
21. A ship sails from a port due south for 5.4 km. It then changes direction and sails another 2.7 km on a bearing of 235°. 21) Find the final distance of the ship from the port. Answer: B
A boat is traveling north at 27 mph. A current is flowing in the direction 60 degrees west of south at a rate of 8 mph. Find the actual speed (to the nearest mile per hour) and direction (to the nearest degree) of the boat. Answer Attempt 1 out of 100 The actual speed of the boat is mph at a direction degrees west of north. B
9. A ship needs to travel on a bearing of 70° west of north at 35 knots. The ocean current is flowing at 4 knots 20° west of north. What bearing and speed must the ship's captain maintain to stay on course?

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