An aircraft is flying at 300 km/h on a bearing of 80°. The wind is blowing at 50 km/h from a bearing of 120°. Determine the actual ground speed and the direction of the aircraft.

Q: A mother gazes out a second-floor window at her son playing at the playground. If the mother's eye…

A: The arrangement of mother's eye level, ground level and playground forms a right angles triangle.…

Q: A five foot tall woman is standing 18 feet from a statue. She must look up at an angle of 50 degrees…

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Q: A wheel is rotating at 4 radians per second, and the wheel has a 60 inch diameter. To the nearest…

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Q: Nico is resting on a 3m high tree house and watching the top of a pole 5m from the tree. if the…

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Q: Rapunzel is at the top of her tower, looking down at Flynn rider who is running towards the base of…

A: QUESTION- Rapunzel is at the top of her tower, looking down at Flynn rider who is running towards…

Q: A gun with muzzle velocity of 1200 ft >/sec is fired at an angle of 8° above the horizontal. Find…

A: It is given that the gun has the velocity 1200 ft/ sec which is fired at angle 8 degree.Compute the…

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

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Q: A car travels at 60mph and has 24 inch in diameter tires. What is the angular speed of a point on…

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Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the…

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau…

Q: A force of 745 pounds just keeps a 4100 - pound vehicle from rolling down a hill. To the nearest…

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Q: What is the compass bearing of point A from 0?

A: Given

Q: A river is 5 km wide and flows at 4 km/h. Sam has a motorboat, which has a speed of 23 km/h in still…

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Q: A plane is heading due south with an airspeed of 296 mph. A wind from a direction of 51° is blowing…

A: Formula used: Cosine rule: c2=a2+b2-2abcosC. Sine rule: asinA=bsinB=cSinC Calculation:  A plane is…

Q: A water main is to be constructed with a 20% grade in the north direction and a 10% grade in the…

A: A water main is to be constructedwith a 20% grade in the north direction and a 10% grade in the east…

Q: N A 140° 200 C 16.2

A: Consider the illustrated figure below for the flight of the plane.

Q: A submarine climbs at an angle of radians (30°) above the horizontal with a heading to the…

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

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Q: A​ DC-9 aircraft leaves an airport from a runway whose bearing is N57°E. After flying for 1/2 mile,…

A: Tangent of angle between runway and plane is 1/(1/2) = 2 arctan (2) = 63.44 degress Adding this to…

Q: find the angle formed by the two cables.

A: Given lengths - a = 120 feetb = 204 feetc = 235 feetLet the angle between the two cables be θ.Then…

Q: An airplane is headed on a bearing of 156° at an airspeed of 252 km per hr. A 53 km per hr wind…

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Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1350 feet apart. As the…

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Q: An airplane is headed on a bearing of 160° at an airspeed of 209 km per hr. A 49 km per hr wind…

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Q: A race car is driven around a circular track at a constant speed of 180 mph.  If the diameter of the…

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Q: A plane with an airspeed of 190 mph is flying on a bearing of 120 degrees.  A wind is blowing from…

A: To calculate the (absolute) velocity vector , given the relative velocity vector

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

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Q: Jan measures the angle of elevation of the peak of the mountain at 35 degrees. Susan, who is 1200…

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Q: A person walks 3 miles due west and then walks 2 miles due south. What is the bearing of the person?

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Q: A​ DC-9 aircraft leaves an airport from a runway whose bearing is N45°E. After flying for 14 miles,…

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Q: An airship is flying at an altitude of 800 m when it spots a village in the distance with a…

A: Consider the diagram given below, Point A is the location of the plane at that instant, point C is…

Q: A car travels at 70mph and has 28 inch in diameter tires. What is the angular speed of a point on…

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Q: From the top of a lighthouse was 60 m above sea level. A ship located 1200 m from the shore could…

A: Given:   To determine: angle of depression θ

Q: A plane is heading due south with an airspeed of 214 mph. A wind from a direction of 56° is blowing…

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

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Q: An airplane is headed on a bearing of 123° at an airspeed of 226 km per hour. A 49 km per hour wind…

A: We have been given that an airplane is headed on a bearing of 123° at an airspeed of 226 km per…

Q: An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the…

A: Note: As per the company's policy we are supposed to solve only one question. Kindly repost the next…

Q: A plane is flying at a speed of 540 miles per hour on a bearing of S36°E. Its ground speed is 500…

A: The ground speed is given by the magnitude of v+w. v+w=500cos314°+500sin314°≈347.33i-359.67j

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: 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: What the difference between magnitude and direction?

A: Magnitude means the strength or " how much" of the quantity. For example, if we say 2 litres of…

Q: The rotor blades of a helicopter are 12 ft long and are rotating at 180 rpm. (a) Find the angular…

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Q: Pitcher Aroldis Chapman threw a pitch with a recorded velocity of 105 miles per hour. Assuming he…

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Q: A ball is thrown with an initial velocity of 70 km per second, at an angle of 35° with the…

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Q: Determine the horizontal distance from point A to each mountain peak. 2. State a position vector for…

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Q: A ship leaves a port and sails 450 km due west. It then sails 600 km due north. What is the ship’s…

A: Given that, A ship leaves a port and sails 450 km due west. It then sails 600 km due north.   Let x…

Q: A gun with a muzzle velocity of 1040 ft/ sec is fired at an angle of 16° above the horizontal. Find…

A: Given that muzzle velocity = 1040 ft/secangle θ=16° above the horizontal To find : the horizontal…

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: The airline route from San Fran to Honolulu is on a bearing of 233 degrees.  A jet flying at 450 mph…

A: We have given,We have a vector of 450 mph at 233 degree, an interior angle of 233 can be given as :…

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

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.