N 15 mi/hr Port 12 mi/hr

Q: y= 3 miles toward a point directly over an observer. The speed of the plane is 60” miles per hour.…

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: Given- A survey team is trying to estimate the height of a mountain above a level plain. From one…

Q: Finding the Distance to a Plateau Suppose that you areheaded toward a plateau 50 meters high. If the…

A: The base of the plateau.

Q: Velocity The speed of an airplane is 300 mi/h relative to theair. The wind is blowing due north with…

A: Velocity The speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north…

Q: rotating light is located 18 feet from a wall. The light completes one rotation every 5 seconds.…

A: Obtain relationship between distance along wall and perpendicular distance of source from wall and…

Q: A rotating light is located 11 feet from a wall. The light completes one rotation every 5 seconds.…

A: This question can be solved using the rate of change of physical quantities.

Q: Related rates. The tip of a fishing pole is located 10 feet above the water. This iskept constant as…

A: From the given information it is observed that,

Q: rises at the rate of 8 Find the rate of change of the angle of elevation when the balloon is 25 feet…

A:

Q: 5. Two people are 50 feet apart. One of them starts walking north at a rate so that the angle shown…

A: Solution :-

Q: A port and a radar station are 4 mi apart on a straight shöfe ruhhing east of 18 mi/hr. If the ship…

A:

Q: 2. A boy is flying a kite at a height of 50 meters. The kite is moving horizontally away from the…

A: Let's find.

Q: A vertical flagpole stands beside a road that slopes at an angle of 15 with the horizontal. When the…

A: Solution: The objective is to find the height of the flagpole

Q: An airplane is flying in still air with an airspeed of 475 miles per hour. The plane is climbing at…

A:

Q: of the rod to the water? 10 ft Figure for 41

A: Question   angle of elevation of  a fish is reeled in a rate1 foot per second from the point 10…

Q: Projectile motion A gun with muzzle velocity of 1200 ft/ sec is fired at an angle of 8° above the…

A:

Q: What percentage grade should a road have if the angle of elevation of the road is 7 degrees? (The…

A: For the given  angle of elevation = 7 degrees  Road rises 5 feet for every 100 feet horizontal…

Q: What percentage grade should a road have if the angle of elevation of the road is 7 degrees? (The…

A:

Q: 16.) A tree stands on a hillside of slope 28° from the horizontal. From a point 75 feet down the…

A: As we know that; The sine rule; asinA=bsinB=csinC   From the given figure; Let the height of the…

Q: Elevator An observer is 22 m above the ground floor of a large hotel atrium looking at a…

A: the given figure is: given that: An observer is 22m above the ground floor of a large hotel atrium…

Q: An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of…

A: consider the equation: dxdt=-600mi/hdθdt θ= 30°,60°,75°

Q: of Sine A Cebu Pacific Airplane and PAL Airplane are both approaching Clark International Airport…

A: We will solve the problem.

Q: What percentage grade should a road have if the angle of elevation of the road is 2 degrees? (The…

A: The angle of elevation of the road is 2 degrees. Let x be the rise for every 100 feet of horizontal…

Q: Flight Control An airplane is flying in still air with anairspeed of 275 miles per hour. The plane…

A: We have, An airplane is flying in still air with an airspeed of 275 miles per hour. The plane is…

Q: Velocity A gun with a muzzle velocity of 1200 feetper second is fired at an angle of 6° above…

A: Solution: Consider the given velocity is v = 1200 feet per second If the gun is fired 6 degrees…

Q: Finding the Distance of a Ship from Shore A person in asmall boat, offshore from a vertical cliff…

A: Let  a person at vertex A in the boat

Q: A rocket is rising vertically at a rate of 5400 miles per hour. An observer on the ground is…

A:

Q: Angle of elevation not depression

A: Given.

Q: 50. A boat is heading due north as it crosses a wide river with a velocity of 10.0 km/h relative to…

A: To determine the magnitude and direction of the boat's velocity with respect to an observer on the…

Q: What percentage grade should a road have if the angle of elevation of the road is 2 degrees? (The…

A: Refer to the figure shown below: Let, the percentage grader be x %.

Q: An airplane flies at an altitude of y = 10 miles toward a point directly over an observer (see…

A: To determine the rate at which the angle of elevation is changing when the angle is 450, 600, 750.

Q: Angular Speed A car is moving at the rate of 50 miles perhour, and the diameter of its wheels is 2.5…

A: Angular speed of a car = v=50 miles/hour ⇒v=50×528060=4400 feet/min

Q: 5. Projectile motion A gun with muzzle velocity of 1200 ft/sec is fired at an angle of 8° above the…

A:

Q: A boat in a current The water in a river moves south at 10 mi/hr. A motorboat travels due east at a…

A: Given: the water in a river moves south at 10mi/hr A motorboat travels due east at a speed of 20…

Q: 11. A road slopes 12° above the horizontal, and a vertical telephone pole stands beside the road.…

A: first, we will draw a diagram according to the given data  in this diagram, marks points  first,…

Q: Observing a launch An observer stands 300 ft from the launchsite of a hot-air balloon. The balloon…

A: GivenObserver stands from the launch of a hot air ballon=300ft.Velocity…

Q: Sally is standing on a wharf that is 5m above the surface of the water. She is pulling on a rope…

A: Use the trigonometric ratios and application of derivative.

Q: Firing angles A projectile is fired over horizontal ground from theorigin with an initial speed of…

A: Given - u = Initial speed of projectile = 60 m/sR = Range of projectile = 300 mθ = angle at which…

Q: 0000000000000 An airplane is flying at a constant altitude of 10 miles above the ground and passes…

A: Definition used-              Related rates of change-              It is an application…

Q: 20. Two people are 15 meters apart. One of them starts walking north at a rate so that the angle…

A: Given: dθdt= 0.01  From the given triangle we find cosθ = x15 To find : dxdt at θ= 0.5 radians

Q: A boat leaves a port traveling due east at 12 mi/hr and at the same time another boat leaves…

A: Given that  a boat leaves a port travelling due east 12 mile/hour and at the same time another boat…

Q: determine the length of the base of the cliff to the boat to the nearest TENTH of a foot”

A:

Q: A lighthouse stands 475 m off a straight shore and the focused beam of its light revolves four times…

A:

Q: FIREFIGHTING #2 A firefighter on the ground sees fire break out through a window near the top of the…

A: We will find the horizontal distance from the fighter to building in the following step.

Q: (b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at…

A:

Q: Please show all work

A:

Q: A balloon rises at a rate of 3 meters per second from a point on the ground 60 meters from an…

A:

Q: A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds.…

A:

Q: What percentage grade should a road have if the angle of elevation of the road is 5 degrees? (The…

A:

Q: Angle of Elevation   2. A man is standing in front of a wall and looking at its topmost point. If…

A:

Q: A balloon is rising at a rate of 3 meters per second from a point on the ground 55 meters from an…

A: