A cruise ship maintains a speed of 15 knots (nautical miles per hour) in going from San Juan to Barbados, a distance of 600 nautical miles. To avoid a tropical storm, the captain heads out of San Juan in a direction 20(degrees) off a direct heading to Barbados. The captain maintains the 15-knot speed for 10 hours, after which time the path to Barbados becomes clear of storms. Through what angle should the captain turn to head directly to Barbados, and how long will it take to reach the destination?

Q: A ship leaves a port and sails for 4 hours on a course of 78°at 18 knots (nautical miles per…

A: A ship leaves a port and sails for 4 hours on a course of 38 degrees at 18 knots. Then the ship…

Q: The shafts of an angle drive are acted upon by the two couples shown. Replace the two couples with a…

A:

Q: The speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north with a speed…

A: Given The speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north with a…

Q: The radius of each wheel of a car is 16 inches. At how many revolutions per minute should a spin…

A: First convert the speed from miles per hour to inches per min and obtain 95040 inches/min.…

Q: A nail needs to be removed from a piece of wood by a force applied at a 40-degree angle as shown. If…

A: The force on the diagram is shown in the sketch below,

Q: A plane flies at a constant groundspeed of 400 miles per hour due east and encounters a…

A: Plane flies at a constant speed of 400 miles per hour due east. Then the vector corresponding to…

Q: A river is flowing at 2.4 mph when a girl rows across it.  If the girl rows at a still-water speed…

A: The velocity of water flowing in the river is 2.4 mph. The velocity with which the girl rows is her…

Q: Two radar stations 450 feet apart are monitoring the same boat located in between them. From the…

A: A very important application of trigonometry is height and distance problem. It is assumed to be a…

Q: Suppose you leave home and hike 10 miles due north, then 8 miles in the direction 40 degrees east of…

A: Consider the given: From the given information draw the figure:

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: Given,The speed of pilot is 620 mi/hThe pilot flies in a straight path for 1 h 30 min.After 1h 30…

Q: Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of…

A: Given, The height of plateau = 50 m The angle of elevation = 20o

Q: A ship is sailing due north at 12 km/h while another ship is observed 15 km ahead, travelling due…

A:

Q: When she was younger, Mary had to look up at a 46° angle to see into her father's eyes whenever she…

A:

Q: A pilot flies in a straight path for 1 hour 15 minutes. She then makes a course correction, heading…

A: Distance travelled = Speed * Time of travel

Q: An airplane traveled north for 250 miles and west for 325 miles before reaching its destination. If…

A: Given that an airplane traveled north for 250 miles and west for 325 miles before reaching its…

Q: A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One…

A: Let's see the diagram below to understand what's going on:

Q: A quantity that has both magnitude and direction is called a/an_________ .

A: A quantity that has both magnitude and direction is called  vectors.  Geometrically, we can…

Q: Two cyclists leave from the same location with an angle of 63° between their paths. Johal travels…

A:

Q: A pilot flies in a straight path for 2 hours. He then makes a course correction, heading 15 degree…

A:

Q: From the top of the Eiffel Tower, a jogger is spotted heading toward the tower. At 2 pm, the angle…

A: Using Alternate Angle test, where AD is the transversal we get Angle A =37    In Triangle ACD tan 37…

Q: Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 24 mph in direction…

A: We have to find the required.

Q: A35-foot tall pole is leading towards a building.To stop the pole from leaning further, a 48-foot…

A: A pole of height 35 feet  and a supported cable of length 48 feet which is at a distance of 30 feet…

Q: Suppose you wnat to install a vertical TV tower on the side of a hill which makes a 25 degree angle…

A: Given that,

Q: Gina is standing near a building and notices that the angle of elevation to the top of the building…

A: Let 'h' ft be the height of the building. Let the starting position of Gina be A.  She moved 78ft…

Q: an airplane is heading north at an airspeed of 600 KM/HR, but there is a wind blowing from the south…

A: Consider the vector graph:

Q: From the top of a 72 m high vertical cliff, a boat is 115 m away from the cliff. What must be the…

A: Given:- From the top of a 72 m high vertical cliff, a boat is 115 m away from the cliff. To find:-…

Q: An airplane is heading north at an airspeed of 550 km/hr, but there is a wind blowing from the…

A:

Q: A fisherman is 7 miles west and 3 miles north of the marina. To head directly back to the marina,…

A: using pythagorous theoremAM2=AB2+BM2

Q: Two ships leave a port at the same time. The first ship sails on a bearing of 32° at 16 knots…

A: The first ship's trajectory and the second ship's trajectory actually form a right angle, since one…

Q: A civil engineer desires to measure the height of a tower observing a vertical angle at A. He then…

A:

Q: A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground.…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

Q: A pilot flies in a straight path for 1 hour 30 minutes. She then makes a course correction, heading…

A: According to the question,Speed = 400 mih

Q: There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A…

A: Given data: The distance between both stations is AB =50 m. The angle made by a swimmer with station…

Q: The height of a radio tower is 450 ​feet and the ground on one side of the tower slopes upward at an…

A:

Q: A ship is headed due north at a constant 20 miles per hour. Because of the ocean current, the try…

A:

Q: A river has a constant current of 3 kilometers per hour. At what angle to a poat dock should a…

A:

Q: A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One…

A: find the distance in the following way:-

Q: An airplane is heading north at an airspeed of 650 km/hr, but there is a wind blowing from the…

A: Given  AC = 650 km/hr            AB = 30 km/hr   BC = resultant    from triangle ABC,  cosine rule,…

Q: An airplane is heading north at an airspeed of 550 km/hr, but there is a wind blowing from the…

A: Here we will find plane's speed relative to ground and degrees off course, we will solve this…

Q: The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 274 revolutions per…

A: Given: The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 274 revolutions…

Q: Mang Tomas will enclose two sides of his triangular vegetable garden with two pieces of chicken wire…

A:

Q: A plane flies 300 miles straight West and then turns 55° North of West and travels for 200 miles.…

A: please check step 2 for solution

Q: A rocket is shot into the air at an angle of 60°. If it is traveling at 200 ft per second, how high…

A: Speed of rocket=200ft/sec Angle at which rocket is shot=60o To find the height of rocket from ground…

Q: A quantity that has magnitude but no direction is called a/an_______ .

A: Given: The statement is " A quantity that has magnitude but no direction is called a/an ______." To…

Q: Two fire stations are 15 miles apart. Fire station B has an angle of elevation of 38* to the fire.…

A:

Q: Jaden is flying a kite and lets off 275 feet of string. If the kite is 150 feet above ground and…

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: A plane headed due east is traveling with an airspeed of 190 miles per hour. The wind currents are…

A:

Q: f line AB has a bearing of 69 degrees 6 minutes 6 seconds and the indicated angle at B is 225…

A: