20. Two people are 15 meters apart. One of them starts walking north at a rate so that the angle shown in the diagram below is changing at a constant rate of 0.01 radians/min. At what rate is the distance between the two people changing when 0 = 0.5 radians? Moving Person Stationary Person 15 m

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

A: Given, A ladder 10 ft long rests against a vertical wall. Let x be the distance between the bottom…

Q: Ivar is eagerly watching a black leaf falling straight down towards a point on the ground whose…

A:

Q: 1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the…

A: Given that , Height of person = 7 feet and height of lamppost = 20 feet Let ,The distance of the…

Q: A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle…

A:

Q: When a rocket is 5 kilometers high, it is moving vertically upward at a speed of 900 kilometers per…

A:

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 5 m/sec…

A: We are using speed=distance/time And the Pythagoras Theorem.

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

A:

Q: When a rocket is 8 kilometers high, it is moving vertically upward at a speed of 600 kilometers per…

A:

Q: 6. The hypotenuse of a right triangle is increasing at a constant rate of 3 ft per second and one…

A: Trigonometric is the geometric study of triangles and algebraic study of trigonometric functions the…

Q: A 10 foot ladder is leaning against a wall, with its base 3 feet from the wall. It begins to slide…

A: Given that A 10 foot ladder is leaning against a wall, with its base 3 feet from the wall. It begins…

Q: A weather balloon is rising vertically at the rate of 5 meters per second. An observer is standing…

A:

Q: An airplane is flying at a constant altitude of 4,400 ft. and passes through as point directly above…

A: Using trigonometric identities

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 100 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

Q: When a rocket is 8 kilometers high, it is moving vertically upward at a speed of 900 kilometers per…

A:

Q: When a rocket is 7 kilometers high, it is moving vertically upward at a speed of 100 kilometers per…

A: Given:When a rocket is 7 kilometers high, it is moving vertically upward at a speed of 100…

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

A:

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 600 kilometers per…

A: Set the height of the rocket be h and angle of elevation from the observer's eye is x. dhdt=600

Q: A triangle has two constant sides of length 10 feet and 15 feet. The angle between these two sides…

A:

Q: 12. A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 f/sec. Assume the…

A:

Q: A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches the…

A:

Q: A 13-ft ladder is leaning against a house when itsbase starts to slide away. By the time thebase is…

A: Given: length of ladder, L=13 ft distance from base, x = 12 ft dxdt=5 ft/sec

Q: A triangle has two sides a = 8 cm and b = 12 cm. How fast is the third side c increasing when the…

A: Since two sides and one angle opposite to the third side are given; cosine law has to be applied.…

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 2m/sec…

A: Given: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of…

Q: When a rocket is 10 kilometers high, it is moving vertically upward at a speed of 1000 kilometers…

A: To determine the rate of change of angle of elevation with respect to observer.

Q: 2.) A ladder 5 feet long rests against a vertical wall. If the bottom of the ladder (on level…

A: A ladder is 5 feet long. The speed at which the ladder slides away from the wall is 1 foot per…

Q: A boy is flying a drone at a constant height of 28 m above the ground. If the drone is moving…

A:

Q: Suppose you always keep your eyes fixed on the very top of a 100 m building. Suppose you start to…

A: Height of building = 100 m Let x be the base distance from the building Head angle = θ tanθ=100x

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance…

A:

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

A: Given a ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away…

Q: tracked by an observer located 2km from the lift-off point. If the angle θ between the observer's…

A: Given query is to find the correct statement regarding the speed of the balloon.

Q: Two boats are moving toward a buoy along paths that makes a 90 degree angle. The first boat is 165…

A:

Q: b) You are fishing on a dock which is 5 feet above the water. You catch a fish! And you reel it in…

A:

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

A:

Q: 1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the…

A: topic - similar triangles and derivatives

Q: A kite 100 ft above the ground moves horizontally at a speed of 4 ft/s. At what rate is the angle…

A: Here we use trigonometric formulas along with differentiation formulas.

Q: A woman 5ft tall walks at a rate of 7ft/sec toward a street light that is 12ft above the ground. At…

A: Given A woman 5ft tall walks at a rate of 7ft/sec toward a street light that is 12ft above the…

Q: A kite 100 ft above the ground moves horizontally at a speed of 3 ft/s. At what rate is the angle…

A: The diagrammatic representation of the problem is shown below.

Q: A triangle has two constant sides of length 6 ft and 2 ft. The angle between these two sides is…

A:

Q: A man 6 feet tall walks at a rate of 3 feet per second away from a light that is 15 feet above the…

A:

Q: A kite 100ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle…

A: Using triangle find angle then find the rate of change of angle

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

A:

Q: A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches the…

A: Let, the angle θ is an acute angle made by telescope and the vertical. The distance between the boat…

Q: TWO CARS LEAVE AT THE SAME POINT AT THE SAME TIME IN OPPOSITE DIRECTION IF THE CARS MOVE AT RATES OF…

A: TWO CARS LEAVE AT THE SAME POINT AT THE SAME TIME IN OPPOSITE DIRECTION IF THE CARS MOVE AT RATES OF…

Q: Two sides of a triangle are 17.8 m and 27 m in length and the angle between them is increasing at a…

A: In this question we have to use some properties of triangle and differentiation. According to the…

Q: A man 6 ft tall walks at a rate of 5 ft/sec away from a lamppost that is 16 ft high. At what rate is…

A: Given: Height of the man, h=6 ft Height of the post, H=15 ft Walking rate, dxdt=5 ft/sec

Q: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: a television camera is positioned o the ground 4000 feet from the base of a rocket launching pad. If…

A:

Q: 2. An observers watches a plane approach at a speed of 600 mi/hr and at an altitude of 4 miles. At…

A: To see what's going on, we first draw a schematic representation of the situation, as in figure…