Suppose I throw a baseball with an initial velocity of 80 ft/sec at an angle of 30 degrees to the horzontal with an initial height of 6 feet. how high will it go?

Q: A 14 foot ladder is leaning on a tree the bottom of the latter on the ground at a distance of 3 feet…

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Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

A: Situation:The man, at point B is approaching the car, at point C, with velocity v = 5ft/s.The…

Q: You are facing a building that is 150 feet higher than your transit, and you must elevate your…

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Q: 2. A rocket is launching vertically upward from a point 2 miles east of an observer on the ground.…

A: Let's find speed of rocket.

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

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

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Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second,…

A: speed of the hot balloon=7feet per second angle of depression=36 degree time=1 minute and 30 second…

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 estimating the height of mountain We have to find the height of mountain…

Q: A submarine starts on the surface, and dives at an angle of 15 degrees to the surface. It goes…

A: topic - trigonometric ratios cos (theta)= adjacent/hypotenuse

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per second,…

A: Given: A man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per…

Q: The height of a radio tower is 450 ​feet and the ground on one side of the tower slopes upward at an…

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Q: An airplane took off from an airport and traveled at a constant rate and angle of elevation. When…

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Q: A girl used a ladder 6m long to climb the top of a dike whose sides are inclined 42 degrees with the…

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Q: Over 2000 years ago, the Greek scholar Eratosthenes estimated Earth's circumference by assuming that…

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Q: The height of a tree that is leaning towards the sun at an angle of 150 is to be measured. A…

A: Sine law: The rule of sines is the ratio of side length to the sine of the opposite angle. It holds…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second,…

A: Given information are shown in below figure.

Q: A projectile is fired with an initial speedof 500 m / sec at an angle of elevation of 45. How high…

A: For projectile motion, the parametric equation for the distance travelled is given by…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second,…

A: Solution..

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 man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per second,…

A: We have to find the distance between man and his friend.

Q: What two angles of elevation will enable a projectile to reach a target 16 km downrange on the same…

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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: 2. A bullet is fired at an angle of elevation of 36°. What is the muzzle speed if the maximum height…

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Q: From the top of the Eiffel Tower, a jogger is spotted heading toward the tower. At 2 pm, the angle…

A: Using Alternate Angle test, where AD is the transversal we get Angle A =37    In Triangle ACD tan 37…

Q: A gun is fired with angle of elevation 30o. What is the muzzle speed if the maximum height of the…

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Q: A shell, fired from ground level at an elevation angle of 45 ◦ , hits the ground 24,500 m away.…

A: Given: The shell was fired from the ground at an elevation of θ=45°. Horizontal distance from the…

Q: A student is standing on a 27 m diving platform from the ground. On the ground, their coach is on…

A: Ans =52.1999 m  For detail....go through the solution

Q: An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Form the right triangle and use trigonometric ratios.

Q: Suppose you wnat to install a vertical TV tower on the side of a hill which makes a 25 degree angle…

A: Given that,

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

A:

Q: What is the length of the trail (

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Q: A projectile is fired with an initial speedof 500 m / sec at an angle of elevation of 45. When and…

A:

Q: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

A:

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

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

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Q: A shell is to be fired from ground level at an elevation angle of 30°. What should the muzzle speed…

A:

Q: On the wall of Mr. Piamonte’s house, a picture was hung in 6 meters high, so that its location is 5…

A: The formula for the distance from the observer to the wall, x, so the angle subtended by the picture…

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 pendulum of length 12.1 inches swings 5°37' to each side of its vertical position. What is the…

A:

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 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 man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

A:

Q: An airplane is one mile above sea level when it begins to rise at a constant angle of 2 ° for the…

A:

Q: Find

A: Given that : Diameter = 30 feet Radius = 15 feet Length = 2 feet Inclination = 45 degrees

Q: Two fire stations are 15 miles apart. Fire station B has an angle of elevation of 38* to the fire.…

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Q: A surveyor is determining the height of a mountain. From some unknown distance away from the…

A: Consider the given information and draw the sketch. Assume the distance after getting closer by 1…

Q: From the top of a 45-m high building, an observer sees a car heading toward the building at an angle…

A: AB = height of the building = 45 m   The first angle of depression, ∠EAC =∠ACB = 15°   As the car…

Q: A kite is flying at a height of 65 m attached to a string. If the inclination of the string with the…

A: