A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the angle of the rope to the ground remains 65° and the rope is pulled in at 5 ft>s, how quickly is the elevation of the balloon changing?

Q: A baseball is thrown from the stands 32 ft above the field at an angle of 30 up from the…

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Q: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

Q: A 39-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

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Q: A 12-ft ladder leans against a wall of a house in such a way that it makes an angle of 67° with the…

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Q: A circular blade with a 12-inch diameter spins at a rate of 1800 rpm (revolutions per minute). What…

A: Hi! This question falls under physics. This time we are answering is but kindly post questions under…

Q: A 2525-ft ladder leans against a building so that the angle between the ground and the ladder is…

A: Length of the ladder = 25ftangel between ground and the ladder = 78°

Q: At what rate is the angle between a clock’s minute and hour hands changing at 4 o’clock in the…

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

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Q: An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent…

A: Given that, altitude = 11,000 feet angle of depression = 5 degree.

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

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

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Q: A 14-foot ladder leans against a wall so that the angle between the ground and the ladder is 33°.…

A: Length of Ladder is 14 foot  The angle between the ground and the ladder is 33 degrees. To find how…

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A:

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: A rain gutter is to be constructed from a metal sheet ofwidth 30 cm by bending up one-third of the…

A: A rain gutter is to be constructed from a metal sheet ofwidth 30 cm by bending up one-third of the…

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Here, AB is the ladder.AB=65∠ABC=65° We need to find the value of AC.

Q: A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75°…

A: Draw a schematic diagram of the given question. Given data, Length of ladder, AC = 33 ft Angle…

Q: A 28-ft ladder leans against a building so that the angle between the ground and the ladder is 79°.…

A: As per given question question  We have find heights of Building

Q: A 45 inch wood plank leans against the side of a building so that the angle between the ground and…

A: Topic = Trigonometric ratios  44.83 inches high the wood plank reach up to the side of the building.…

Q: An aircraft is climbing at a 30 degree an

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

Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: We can find the rate of decrease of angle of elevation as below.

Q: A road rises 25 m for every horizontal change of 100 m. Which expression could be used to determine…

A: Given a road rises 25 m for every horizontal change of 100 m. Let  AB=100 m  and  BC=25 m We have…

Q: Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will…

A:

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

A: ANSWER IS AS FOLLOWS:

Q: A 24 ft ladder leans against a building so that the angle between the ground and ladder is 85…

A: Given : A 24 ft ladder leans against a building so that the angle between the ground and ladder is…

Q: A projectile is fired at a speed of 840 m/ sec at an angle of 60°. How long will it take to get 21…

A: Given:

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: Sun 10.5ft. 24°

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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: A woman is standing on the ground at a point 78ft from the base of a building. The angle of…

A: We have given that woman standing o the ground at a point 78 ft from the base of the bulding.Angle…

Q: A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 79°.…

A: SinB = opposite side / hypotenuse.

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

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Q: A tire is rotating 840 times per min. Through how many degrees does a point on the edge of the tire…

A:

Q: A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 78°.…

A: Topic-hight & distance

Q: The altimeter of a jet airplane approaching Eusebio International Airport records 6,300 feet as it…

A:

Q: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

A: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

Q: A ladder, 10 ft long, rests against a wall. If the bottom of the ladder slides away from the wall at…

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

A:

Q: A 33-ft ladder leand against a building so that the angle between the ground and the ladder is 80°.…

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Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 81∘.…

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Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 62°.…

A: Given: Length of the ladder is, l=31 ft. Angle between ladder and the ground is, θ=62°. The…

Q: A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The…

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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: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 61°.…

A:

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Q: A 8-ft ladder leans against a building so that the angle between the ground and the ladder is 69 How…

A: Solve the following problem