Suppose that a rocket is fired at an angle of 5° from the vertical with an initial speed of 1000 ft/s. (a) Find the length of time the rocket is in the air. (Round your answer to three decimal places.)   s (b) Find the greatest height it reaches. (Round your answer to one decimal place.)  ft (c) Find the horizontal distance it has traveled when it hits the ground. (Round your answer to the nearest whole number.)

Q: C. A man, of height 1.75m, stands on top of a building of height 52m and looks at a car at an angle…

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Q: A hot air ballon rises vertically upwards from a distance of 170m away. If the angle 0 at which you…

A: To Determine: how fast is the ballon rising when θ=π6 Given: A hot air balloon rises vertically…

Q: The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep…

A: Givev:r=7ftv=17mi/hr

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

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Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

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Q: 6. A wheel 5 ft in diameter rolls up an incline of 18°20'. What is the height of the center of the…

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Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

A:

Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…

A: topic - trigonometric ratios and application of derivatives

Q: The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep…

A:

Q: A jet airliner is flying at a constant altitude of 12,000 ft above sea level as it approaches a…

A: The diagram of a jet airliner A traveling at a constant height toward a radar station R is shown…

Q: A 100-foot tall monument is located in the distance. From a window in a building, a person…

A: Given:                                       The  height of the monument = 100 foot…

Q: An airplane is flying in still air with an airspeed of 284 miles per hour. If it is climbing at an…

A: We have to apply the application of trigonometry

Q: If a ladder of length 20 ft which is leaning against a vertical wall has its upper end sliding down…

A: Given:         Length of ladder =20 ft    dhdt=-2 ft/sec

Q: A rock is thrown upward with a velocity of 28meters per second from the top of a 37 meter high…

A: h(t)=-4.9t^2+28t+37

Q: A winch of radius 3 ft is used to lift heavy loads. If the winch makes 8 revolutions every 15…

A: Radius = 3ftWinch make 8 revolution in every 15 second.

Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

A:

Q: A Ferris wheel of radius 36 feet needs 5 minutes to complete a full revolution. At what rate is a…

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

A:

Q: A street light is at the top of a 13 ft tall pole. A woman 5 ft tall walks toward the pole with a…

A:

Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point.…

A: Here we will find how fast is the balloon rising,

Q: Find the length of skid mark (m) if the average skid resistance is 0.1 and the velocity of the car…

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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 pilot flies in a straight path for 1 hour 30 min. She then makes a course correction, heading 10…

A:

Q: 1. A 38-ft ladder leans against a building so that the angle between the ground and the ladder is…

A: Given, The angle between the ground and ladder,∠ACB=73°Length of ladder AC= 38-ft To find: Length,…

Q: A 13.9 foot ladder is leaning against a wall. If the foot of the ladder makes a 59.6 angle with the…

A: We know  that the sine ratio, sin (x) = perpendicular / hypotenuse

Q: A woman driving a car 14 ft long is passing a truck 30 ft long. The truck is traveling at 50 mi/h.…

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Q: A steep mountain is inclined 72 degree to the horizontal and rises 4900 ft above the surrounding…

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Q: The radius of the Ferris wheel circular path is 20fr. If a "ride" of 16 revolutions is made in 3…

A: It is given that the radius of the wheel circular path is 20 ft and the ride is of 16 revolutions…

Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

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Q: On a morning of a day when the sun will pass directly overhead, the shadow of a 60-ft building on…

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Q: 1. Two cars start from the same place and travel in opposite directions, one at the rate of 45km/h,…

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

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Q: A steep mountain is inclined 74° to the horizontal and rises h = 3900 ft above the surrounding…

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Q: A steep mountain is inclined 74° to the horizontal and rises h = 3900 ft above the surrounding…

A: Given that, the height of the mountain us h=3900 ft, distance d from the base of the mountain is…

Q: A pendulum of length 100.10 in., located at a point at sea level where the radius of the earth is R…

A:

Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

A: Draw a schematic diagram of given question.

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

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Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

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Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

A:

Q: A plane flying with a constant speed of 240 km/h passes over a ground radar station at an altitude…

A:

Q: A ship leaves port at 2:00 PM and travels S30°E at the rate of 50 km/hr. Another ship leaves the…

A: Given that a ship leaves a port at 2:00 PM and travels S30degree East at the rate of 50km/hour and…

Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…

A: From the given information we use trig ratio ,  tan(θ)=oppositeadjacent…

Q: Given that the radius of earth is approximately 3950 miles, and it takes 24 hours to the earth to…

A: a)-    Angular speed is given by,                                              ω=2πTime periodSo,…

Q: A 5 metre long ladder is leaning against a vertical wall, with its foot on horizontal ground. The…

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Q: The upper end of the ladder 5 m long leans against a vertical wall. Suppose the foot of the ladder…

A: Given ladder length =5m And let x is the distance from the bottom of ladder to the wall y  is the…

Q: Suppose that a rocket is fired at an angle of 5° from the vertical, with an initial speed of…

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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.