A man walks 95 km East the 55 km North. Calculate his resultant displacement and direction.

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: Find the force required to keep a 3,000 pound car parked on a hill that makes an angle of 15 degrees…

A: Consider the figure below

Q: Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many…

A: Given that Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall.

Q: Find the Reference Angle

A:

Q: When being burned in a writable CD-R drive, the angular speed of a CD varies to keep the linear…

A: We known that ,for a point in uniform circular motion, the relationship between angular speed and…

Q: A small plane is flying north in calm air at 250 mph when it encounters a horizontal crosswind…

A: Given data The plane is flying north in calm air at 250 mph. Speed of the horizontal crosswind…

Q: A Ferris wheel 150 feet in diameter makes one revolution every 3 minutes. What is the angular speed…

A: Given that,  the diameter = 150 feet and  T = 3 minutes.  Then the angular velocity…

Q: ship travels 60 miles due east, then adjust its course 15° northward. After travelling 80 mil hat…

A: We will find the distance.

Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

A: topic - application of trigonometry

Q: A basketball gymnasium is 40 metres high, 90 metres wide and 210 metres long. For a half time stunt,…

A: In the question we have to find the cos angle.

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

A:

Q: The radius of the wheel on a bike is 18 inches. If the wheel is revolving at 118 revolutions per…

A: Given radius of wheel on bike=18 inches.Also wheel is revolving at 118 revolutions per minute.To…

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: A ferris wheel with a diameter of 225 feet takes 45 seconds to make a complete rotation. What is the…

A: A ferris wheel with a diameter of 225 feet takes 45 seconds to make a complete rotation.  To be…

Q: What is the linear speed per hour of Shreveport due to the rotation of the earth. The latitude of…

A: Given that: The latitude of Shreveport is 32.53oN Radius of earth, R=3959 miles

Q: A circular power saw has a 7 4-inch diameter blade that rotates at 5000 revolutions per minute. Find…

A: πDiameter=714 inches⇒Diameter=294 inches⇒Radius=r=12·294 inches⇒Radius=r=298 inches⇒Radius=r=29812…

Q: Find the approximate change in the length of the hypotenuse of a right triangle when its legs change…

A: Approximate change in the length can be found by the differentiation of hypotenuse  apply…

Q: Alexander is looking up at a 100-foot tall building at an angle of elevation of 30°. If his e 6 feet…

A:

Q: How much work is done by gravity in causing a 45-kg rock to tumble 54 m down a slope at an angle of…

A:

Q: The radius of the wheel on a car is 21 inches. If the wheel is revolving at 202 revolutions per…

A: Given data, Radius of car wheel, r = 21 inches Total number of revolution make by car in one…

Q: The High Roller, located on the Las Vegas Strip in Paradise Nevada, is currently the largest…

A: Given Data: The diameter of the roller is: D=520 ft The height of the top of the wheel is: hmax=550…

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 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: From the top of a lighthouse 96 feet high, the angle of depression to a small boat is 37.1658°. How…

A: Follow the procedure given below.

Q: A boat is 14 miles west and 18 miles south of an island. What bearing should the boat take to travel…

A: Let the starting point that is the island be O As the boat travels 14 miles west thus let that point…

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

A:

Q: Sketch the triangle. LA = 21°, zB = 95°, a = 440 %3D

A:

Q: the arm of a ferris wheel starting from the center to its passenger seat has a length of 80 ft. how…

A:

Q: The radius of the wheel on a bike is 27 inches. If the wheel is revolving at 144 revolutions per…

A: Given that the radius of wheel is 27 inches.

Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

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

A:

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: If Superman exerts 1000 pounds of force to prevent a 5000-lb boulder from rolling down hill and…

A: Given:If Superman exerts 1000 pounds of force to prevent a 5000-lb boulder from rolling down hill…

Q: 154

A:

Q: If a wagon wheel had 15 more spokes, the angle between spokes would decrease by 4°. How many spokes…

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

A:

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

A:

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: 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 circular power saw has a 7 4 -inch diameter blade that rotates at 5000 revolutions per minute.…

A:

Q: A plane is 34 miles north and 80 miles east of an airport. What bearing should the pilot take to fly…

A: Given query is to find the bearing.

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: Which is traveling faster, a car whose velocity vector is 27i⃗ +32j⃗ , or a car whose velocity…

A:

Q: A surveyor measures the lengths of a triangular plot of land as 420 feet, 350 feet and 180 feet.…

A: We sketch the triangle roughly  We have to find C

Q: . An airplane is 90 miles south and 110 miles east of an airport. What bearing shouldthe pilot take…

A: In the above problem   we have to evaluate the angle of bearing