A ball is thrown at an downward angle of 36.3 deg. from the horizontal at 43.4 m/s from a height of 36.9 m. How long is the ball in the air?

Q: A 17-foot ladder is placed against a wall. The ladder is on level ground at an angle of 71.5 degrees…

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Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is…

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Q: 2. At a point 160 feet from a building, and in a horizontal line in its base, the angle of elevation…

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Q: A kite has two pairs of adjacent sides of 7 ft and 12 ft respectively, where two opposite angles…

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Q: Each side of the base of a right octagonal prism is 7 in. long. The altitude of the prism measures…

A: Given, Each side of the base of a right octagonal prism is 7 inches long The altitude of the prism…

Q: A fence 12 feet tall runs parallel to a tall building at a distance of 4 ft from the building as…

A: consider the smaller right angle triangle

Q: From the top of a building 100 m high, the angles of depression of two cars due east of the observer…

A: I am attaching image so that you understand each and every step.

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: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: A 10-ft ladder is leaning against a vertical wall so that the bottom of the ladder is 4 ft away from…

A: Figure

Q: A 6-foot ladder leans against a wall so that the angle between the ground and the ladder is 78 How…

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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: A 2525-ft ladder leans against a building so that the angle between the ground and the ladder is…

A: Length of the ladder = 25ftangel between ground and the ladder = 78°

Q: A loading ramp is 21 m long with a height of 7 m. What is the angle of incline that the ramp forms…

A: The length of the loading ramp, l = 21 m and the height of the ramp is h = 7 m To evaluate : The…

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 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: What length of cable is needed to anchor a 120 foot tall tower to its anchoring spot 50 feet from…

A: This question is regarding phythagores theorem

Q: A right cone has a base diameter of 8 in. and a volume of 259 cubic inches. Determine the slant…

A: Given the diameter and volume of a right cone. We need to find the slant height.

Q: A railway train is travelling on a curve of 1500 mt radius at the rate of 66 kph. Through what angle…

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Q: 4. From a point 20 m from the base of a building, the angle of elevation of the top of the building…

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Q: A cone has a radius of 10 cm and a height of 24 cm. What is the slant height?

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Q: A car tire has a diameter of 65 cm if the car will rotate once per second how far does the car…

A: 1 minute=60 seconds car travels π D in one rotation.Here D is the diameter

Q: A tree casts a shadow 96 ft long when a vertical rod 9.0 ft high casts a shadow 4.2ft long. How tall…

A: Given, Shadow of the tree = 96 feet Height of the vertical rod = 9 feet Shadow of the rod = 4.2 feet

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: 2. The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing…

A: According to the given information the figure is,   AB = 8 feet AD = 4 feet CD = x

Q: A fence 15 feet tall runs parallel to a tall building at a distance of 3 ft from the building as…

A: Here we have A fence 15 feet tall that runs parallel to a tall building at a distance of 3 ft from…

Q: The minute hand on a clock is 9 centimeters long. In 10 minutes, how far does the tip of the hand…

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Q: A cylinder with radius 7 feet and height 12 feet is shown.

A: Our Aim is to tell the volume of cylinder having radius 7 feet and height 12 feet.

Q: A 45 inch wood plank leans against the side of a building so that the angle between the ground and…

A: Topic = Trigonometric ratios  44.83 inches high the wood plank reach up to the side of the building.…

Q: In Moscow in 1987, Natalya Lisouskaya set a wom-en’s world record by putting an 8 lb 13 oz shot 73…

A: From the given information we get: 73 ft 10 inch= 73.83 ftg= 32

Q: 2. A 30 ft ladder leans against a building at an angle of 45 °. Compute the distance from the foot…

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Q: The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing 3…

A: Let ABC be an isosceles triangle where x = Base angle, y = Altitude. Given: BC = 8 ft , y=6 and dydt…

Q: A church spine is known to be 60 meters high. At point when the top is seen through a theodolite,…

A: Given- A church spine is known to be 60 meters high. At point when the top is seen through a…

Q: THe radius of a conical tent is 7 m and its height is 10 m .Calculate the length of canvas used in…

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Q: A circle has a radius of 21 millimeters. What is the length of the arc intercepted by a central…

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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: On the baseball diamond, the pitcher's mound is 60 ft, 6 in. from home plate. Bases are 90 ft apart.…

A: Given that: The baseball diamond, the pitcher's mound is 60 ft, 6 in. from home plate. Bases are 90…

Q: A dog is tied to a pin in the middle of a circular area of radius 26 ft. The angle between her…

A: I am attaching image so that you understand each and every step.

Q: A woman is standing on the ground at a point 78ft from the base of a building. The angle of…

A: We have given that woman standing o the ground at a point 78 ft from the base of the bulding.Angle…

Q: What is the length of the shadow cast on the vertical screen by your 10.0 cmcm hand if it is held at…

A: Given :  hypotenuse side = 10 cm  Angle = 30°

Q: A 32ft ladder leans against a building so that the angle between the ground and the ladder is 81…

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Q: A 33-ft ladder leand against a building so that the angle between the ground and the ladder is 80°.…

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Q: A 12-ft ladder leaning against a house makes a 64° angle with the ground. Will the ladder reach a…

A: Check the ladder reach window sill 10.5 ft up from the base of house.

Q: A 38 ft ladder leans against a building so that the angle between the ground and ladder is 82. How…

A: Given: A 38 ft ladder leans against a building so that the angle between the ground and ladder is 82…

Q: 2. From a point 20 m from the base of a building, the angle of elevation of the top of the building…

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Q: A street rises vertically 4.2 m for each 135.1m horizontal distance. What is the angle the street…

A: To calculate the angle that made by street with horizontal where, the vertical distance is 4.2 m and…

Q: Each tire of an automobile has a radius of 1.25 feet. How many revolutions per minute (rpm) does a…

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Q: A ball is thrown at an angle of 45o to the ground. If the ball lands 90 m away, what was the initial…

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Q: A kite is flying at a 28° angle on a 300 ft string. Assuming the string is straight,how high is the…

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Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: Given: Formula used: a2=b2+c2-2bc cos A