A fish is reeled in at a rate of 1 foot per second from a bridge 15 ft. above the water. At what rate is the angle between the line and the water changing when there is 25 ft. of line out?

Q: S Kirk visits Yellowstone ground, and the geyser ca irk stands 200 feet from t angle of elevation to…

A: Draw the diagram to understand the conditions given in the question.

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

A:

Q: A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the…

A: Given: The angle of elevation of the balloon is 65°, and the rate of pulling of rope is 5 ft /s.…

Q: A plane flying with a constant speed of 300 km/h passesover a ground radar station at an altitude of…

A:

Q: 4. What is the tangent ratio of angle x? M X 15 ft 17 ft y N 8 ft O

A:

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

A:

Q: 3. A ladder 14 ft long is leaning against a fence 8 ft high, with the upper end projecting over the…

A: Find the changing rate of anlge

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

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: 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 Russian bomber plane is sighting on a target on the ground directly ahead. If the bomber is flying…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A snow tubing hill is 400 ft long and has a 75-ft vertical drop. Find the average angle that the…

A: Given : A snow tubing hill is 400 ft long and has a 75 ft vertical drop. To find : Find the average…

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

A:

Q: The blades of a fan have a radius of 16.5 in. and they turn one revolution every 0.125 sec.…

A:

Q: (c) Find the rate at which the angle between the ladder and thewall of the house is changing when…

A: Let θ = angle between top of ladder and wall   Let x = distance from base of ladder to wall   Base…

Q: A ball is thrown from a height of 6ft at an angle of 60 degrees with the horizontal. If the ball…

A: Initial Speed in horizontal directionux= v cos 600initial speed in vertical directionuy = v sin…

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: The related acute angle is the angle formed between the: a) Initial arm and the x-axis b) Initial…

A:

Q: An aircraft is climbing at a 30 degree an

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

Q: d) A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the horizontal…

A: given: A helicopter above a road at an altitude of 24 m. Distance between the car and the helicopter…

Q: An airplane flew from Quezon whose latitude is 14 deg N and longitude of 121 deg 30 mins E on a…

A:

Q: A shot putter threw an 8 Ib 13 oz shot 62 ft, 2 in. Assuming the shot putter launched the shot at a…

A: answer is in next step

Q: A large nest of recently hatched bald eagles is located at the top of the Eiffel Tower (which is 324…

A: Given: Eiffel Tower is 324 meters tall The tourist standing 54 meters away from Eiffel Tower Find…

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 window whose height is 5ft is on a wall such that its bottom edge is 3 ft above your eye level.…

A:

Q: A wheel 3ft in diameter, rolls up an incline of 15 degree. When the point of contact of the wheel…

A: Given: The angle between the radius and the vertical is the same as the angle of the incline h =…

Q: An airplane climbs at an angle of 11 degrees at an average apees of 420 mph. How long will it take…

A:

Q: A ladder measuring 2.21 m in length is leaning against a wall. If the angle the ladder makes with…

A:

Q: suppose the angry bird is shot from the slingshot with an initial velocity of 55 ft per sec, 11 feet…

A:

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

A: Given: dxdt=5 ft/secdθdt=?

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

A:

Q: A woman is standing 15 meters away from a 20-meter tall building. At what angle is she looking to…

A: Given that height of building=20 meter a woman standing 15 meters away  find the angle she is…

Q: A boat is sailing at a rate of 10 feet per second away from an observer 5 feet above the boat. How…

A:

Q: Grove Street has a grade of 20%. That means that the street rises 20 ft for every 100 ft of…

A: We need to use trigonometric ratio to find the angle.

Q: Given that cos 0 = v2, and the terminal arm i %3D nteasure of the angle in standard position?

A:

Q: A kite, 120 ft above the ground, is moving horizontally at a rate of 10 ft/sec. At what rate is the…

A:

Q: A mountain cabin is built on the side of a hill with a porch extending over a portion of the…

A: The diagram is shown below:

Q: You are in a hot air balloon that is 600 feet above the ground where you can see your friend. If the…

A:

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

A:

Q: At what minimum height above ground level must I place a satellite dish so that, when pointed upward…

A: According to the question:

Q: . Michelle is in the middle of a sting operation. She is waiting on top of a 40 m tall building…

A:

Q: A plane flying with a constant speed of 180 km/h passes over a ground radar station at an altitude…

A: Given that, the speed of the plane is 180 km per hour. From the given information the current…

Q: A plane flying with a constant speed of 180 km/h passes over a ground radar station at an altitude…

A: Let the position of radar be C       A is the point where the angle changes to 30°      which…

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 rocket ship is climbing at the rate of 610 ft/sec when it is at 4600 ft it is tracked by an…

A: A degree, usually denoted by °, is a measurement of a plane angle in which one full rotation is 360…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.