An airplane is heading north at an airspeed of 800 km/h * r , but there is a wind blowing from the southeast at 40 km/h * r . The plane will end up flying degrees off course The plane's speed relative to the ground will be

Q: The law of cosines generalizes the Pythagorean theorem. True or false?

A: Law of cosine is

Q: A 14 foot ladder is leaning on a tree the bottom of the latter on the ground at a distance of 3 feet…

A:

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

A: Situation:The man, at point B is approaching the car, at point C, with velocity v = 5ft/s.The…

Q: In AXYZ, it is given that zz is a right angle. What characterizes the relationship between X and Y?

A:

Q: An airplane is heading north at an airspeed of 600 km/hr, but there is a wind blowing from the…

A: Given: an airplane is heading north at an airspeed of 600 km/hr  there is a wind blowing from the…

Q: You are facing a building that is 150 feet higher than your transit, and you must elevate your…

A:

Q: A string of a kite is 180 meters long and it makes an angle of 75° with horizontal. Find the height…

A: use trignometric ratio

Q: A projectile is fired with muzzle speed 150 m/s and angle of elevation 45ofrom a position 10 m above…

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: A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second,…

A: speed of the hot balloon=7feet per second angle of depression=36 degree time=1 minute and 30 second…

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A:

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per second,…

A: Given: A man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per…

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second at a rate of…

A: a. Find the change in distance when the player is 30 ft from first base.Sketch the baseball square…

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: You are standing in seawater that is 2 feet deep and are looking at a shell at angle = 60. What…

A: Given problem, You are standing in seawater that is 2 feet deep and are looking at a shell at angle…

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: What is the location of the squirrel with respect to where it started?

A:

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second,…

A: Given information are shown in below figure.

Q: A projectile is fired with an initial speedof 500 m / sec at an angle of elevation of 45. How high…

A: For projectile motion, the parametric equation for the distance travelled is given by…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second,…

A: Solution..

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per second,…

A:

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: A man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per second,…

A: We have to find the distance between man and his friend.

Q: A ladder that is 16 foot long liens against a vertical wall such that it’s based makes a 60° angle…

A:

Q: A rock is thrown downward from the top of a building, 168 ft high, at an angle of 60 ◦ with the…

A: Use the displacement formula, x=v0(cos θ)t and substitute v0 with 80 and θ with 60° to get x=40t.…

Q: An airplane took off from an airport and traveled at a constant rate and angle of elevation. When…

A: What was the angle when the airplane rose from the ground?

Q: A railway train is travelling on a curve of 1500 mt radius at the rate of 66 kph. Through what angle…

A:

Q: A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high…

A:

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: We have to find the angle and speed of the plane.

Q: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

A:

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: man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second, while…

A:

Q: A projectile is fired with an initial speedof 500 m / sec at an angle of elevation of 45. When and…

A:

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

A:

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

A:

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: A string of a kite is 100 meters long and it makes an angle of 60° with horizontal. Find the height…

A:

Q: A cannon is fired at an angle of 39° with the horizontal. If the cannonball has an initial velocity…

A: The angle of projectile from the launch is given as 39° The initial velocity is given as 605 ft/s…

Q: A point T stays in the same location when it is reflected over line l. What can you conclude about…

A: Here, give that a point T stays in the same location when it is reflected over line l.

Q: An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the…

A:

Q: An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the…

A:

Q: A plane flying with a constant speed of 19 km/min passes over a ground radar station at an altitude…

A: Given that a plane flying with a constant speed of 19 km/min passes over a ground radar station at…

Q: An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the…

A: Draw a schematic diagram of given question.

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

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: A 32ft ladder leans against a building so that the angle between the ground and the ladder is 81…

A:

Q: A ladder leans against a wall so that its slope is 1.75. The top of the ladder is 7 vertical feet…

A: This problem can be solved by the application of trigonometric ratios for a right angled triangle as…

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: