Two planes leave an airport at the same time. One plane is flying at 650 mph at a bearing of N37E, and the other plane is flying at 825 mph at a bearing of N53W. How far apart are the planes after flying for 2 hours?

Q: .When a ship sank, the only 3 survivors swam off in different directions. They each swam at the same…

A: Given, 3 survivors Same swimming speed Positions after 1 hour= X,Y and Z.

Q: Two ships leave a port at the same time. The first ship sails on a bearing of 52° at 17 knots…

A:

Q: A plane flies 1.5 hours at 130 mph on a bearing of 20°. It then turns and flies 4.1 hours at the…

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: 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: Find the diagonals for a parallelogram whose sides are 4.0 m and 6.0 m. Plus one of the angle is…

A: Please refer the attached image for complete solution. THANK YOU.

Q: On a map, Orlando is 178 mm due south of Niagara Falls, Denver is 273 mm from Orlando, and Denver is…

A: Explained below

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: The shadow of a tower standing on a level plane is found to be 30m longer when the Sun's altitude…

A: Solution is given below

Q: A plane flies due west for 2 hr then due south for 1 hr at an average speed of 375 mph. To the…

A:

Q: A plane flies 1.3 hours at 110mph on a bearing of 30°. It then turns and flies 2.3 hours at the same…

A:

Q: Athena kicks a football from the ground with a resultant velocity of 25 m/s at an angle of 47° above…

A:

Q: An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If…

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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: On one side of a paved path walk is a pedestal with a flagstaff on top of it. The pedestal is 2m in…

A:

Q: 2. Two spotters of tornado are on a road running east-west and are 35 miles apart. The west man…

A:

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 cannon is fired at an angle of 34° with the horizontal. If the cannonball has an initial velocity…

A: From the given information, The angle of projectile from the launch is given as 34°. The initial…

Q: two gears are adjust so that the smaller gear drives the larger one, if the smaller gear (r=3.5)…

A: Let r1 and r2 be the radius of the smaller and larger gears, respectively.Given that, r1 = 3.5 and,…

Q: Two observers A and B who are 462m apart find at the same instant that the angles of elevation of a…

A: Given that , AB=462 m find altitude h=?

Q: Two ships leave port at the same time. One travels at 5 km/h on a bearing of 046°. The other travels…

A: for first ship speed = 5 km/h angle α = 46°   for second ship speed = 9 km/h angle β = 127°   time =…

Q: Two man who are 475 m apart, find the angles of elevation of a kite between them are 28° and 42°,…

A: Given, two-man are 475 m apart, the angle of elevation of a kite between them are 28 and 42…

Q: a plane heads N48E at 360mph a) velocity in component form b) plane is affected by the wind…

A: Here the velocity of a plane is given . We need to calculate the effect of wind on it.

Q: From point A on the ground, a jet ski travels due north at a distance of 15 nautical miles and…

A: Applications of Pythagoras theorem

Q: 4. On a 360 yard hole, a golfer's drive of 240 yards is 25 degrees off line. If the golfer's second…

A: Proceed as shown ...

Q: An aircraft is climbing at a 30 degree an

A: Given: An aircraft is climbing at a 30∘ angle to the horizontal.

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 hiker set out from a straight east-west road on a bearing of N44° E and hiked for 22 miles before…

A: bearing N 300 E means the direction is 30º east of north. similarly  S150Emeans the direction is 15º…

Q: 2. SuperNasr leaps to the top of a tall building (275 ft.) and, with his x-ray vision, sees poor…

A:

Q: The SS Bigfoot leaves Yeti Bay on a course of N37 degrees west at a speed of 50 miles per hour.…

A:

Q: A shell is to be fired from ground level at an elevation angle of 30°. What should the muzzle speed…

A:

Q: Two buildings with flat roofs are 60 m apart. From the roof of the shorter building, 40 m in height,…

A: Solution of question is written in below steps.

Q: 4. A runner jogs 5 mi east then 2 mi south. What is the bearing from the starting point?

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Q: 2. Miguel is flying his kite at an angle of elevation of about 30. When all of the rope was released…

A:

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

A: The radius is 18 inches. The circumference of the wheel is the distance covered in one revolution, 1…

Q: Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be…

A:

Q: The shadow of a tower standing on a level plane is found to be 30m longer when the Sun's altitude…

A:

Q: Two ships leave port at the same time. One ship travels at a speed of 18 mi/hr in the direction N…

A: First ship goes 18 mph for one hour. Hence, the first ship travels 18×1=18 miles. Similarly, second…

Q: A pendulum of length 12.1 inches swings 5°37' to each side of its vertical position. What is the…

A:

Q: A rope is to be hung between two poles 40 feet apart. If the rope assumes the shape of the catenary…

A:

Q: The radius of the wheel on a bike is 19 inches. If the wheel is revolving at 140 revolutions per…

A: Given radius of wheel r=19 inches∴Distance travelled in 1 revolution=circumference of wheel…

Q: Two ships left Port Hope on Lake Ontario at the same time. One travelled at 12 km/h on a course of…

A:

Q: A Ferris wheel is elevated 1m above the ground. When a car reaches the highest point on the Ferris…

A: Given: A Ferris wheel is elevated 1m above the ground. When a car reaches the highest point on the…

Q: Brian is bringing his boat into a dock that is 9 ft. above the water level.  If a 41 ft. rope is…

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: Pat and tim position themselves 2.5 miles apart to watch a missile launch from Vanderberg Air Force…

A: Consider the given:

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

A:

Q: On a dark night, two ships, Saga and Hero, sail parallel to a straight coastline on which there are…

A: We have, I=1b2+x+82+1b2+x-82dIdx=-2x+8b2+x+822+-2x-8b2+x-822     =-2x-8b2+x+822+-2x+8b2+x-822…

Q: What bearing and airspeed are required for a plane to fly 320 miles due north in 2.0 hours if the…

A: