A gun with a muzzle velocity of 1190 feet per second is fired at an angle of 9° above the horizontal. Find the vertical a horizontal components of the velocity. (Round your answers to one decimal place.) horizontal ft/s vertical ft/s

Q: A wheel is rotating at 4 radians per second, and the wheel has a 60 inch diameter. To the nearest…

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Q: Juan works in a tower overlooking the ocean. From a point on his tower at 200 feet above water…

A: Referring to the above figure. Let AC be the tower and Juan be at point A and let the initial…

Q: A man 5 ft 9 in tall stands on a sidewalk that slopes down at a constant angle.  A vertical street…

A: Given thatA man 5 ft 9 in tall stands on a sidewalk that slopes down at a constant angle.  A…

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We will use trigonometric ratios to find the answer

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

A:

Q: A cellular telephone tower that is 110 feet tall is placed on top of a mountain that is 1200 feet…

A:

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: At a point 50 feet from the base of a church, the angles of elevation to the bottom of the steeple…

A: Given,          At a point 50 feet from the base of a church , the angles of elevation to the…

Q: An airplane climbs at an angle of 32° at an average speed of 610 mph. How long will it take for the…

A: airplane climbs at at angle 32 degrees average speed = 610 mph altitude= 3.2 mil

Q: Assuming that a 340-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

A:

Q: In the given diagram, Benjamin observes a buoy in the sea below him from a point 6 ft above a 45 ft…

A:

Q: Assuming that a 360-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: A woman is watching a launched rocket currently 13 miles in altitude. If she is standing 3 miles…

A: The given information ( Rocket altitude = 13 miles and women standing at 3 miles from the launchpad…

Q: A submarine climbs at an angle of radians (30°) above the horizontal with a heading to the…

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Q: A projectile is fired at a speed of 800 m/sec at an angle of 60°. How long will it take to get 22 km…

A: This problem is related to projectile motion and solve this using velocity and distance…

Q: A guy wire attached to the top of a radio antenna is bolted to the ground 48 m from the base of the…

A:

Q: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: A golfer hits a golf ball at an angle of ?=25? with initial velocity ?=180 ft/s. (a) Estimate Δ? if…

A: Given: The given angle θ=25° and  V=180 ft/s.

Q: A ladder 24 ft long is leaning against a sloping embankment. The foot of the ladder is 11 ft from…

A:

Q: A 18 18-ft ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: Suppose that you are headed toward a plateau 51.8 meters high. If the angle of elevation to the top…

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Q: Find the angular velocity, in radians per minute, associated with the given revolutions per minute…

A: The angular velocity is given by, ω=θt

Q: A straight 33-ft long ladder leans against a building so that the angle between the ground and the…

A:

Q: The horizontal distance of the ramp is 8.3 feet and the vertical height of the ramp is 6.6 feet.…

A: Given: Horizontal =8.3 feet Vertical =6.6 feet To find: Angle of inclination=??

Q: Suppose that you are headed toward a plateau 22.8 meters high. If the angle of elevation to the top…

A:

Q: A projectile is fired at a speed of 820 m/sec at an angle of 60°. How long will it take to get 23 km…

A: The projectile is fired at a speed of 820m/sec at an angleof 60°. So, the horizental component of…

Q: The radius of the wheel on a car is 32 inches. If the wheel is revolving at 454 revolutions per…

A: Radius=32 inches Number of revolutions=454 per minute

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We have, Height of redwood, P=350 foot Angle of elevation,   According to the rule of trigonometry,…

Q: Mr. Pratt was building a house. A ladder that is 10 ft. long is leaning against the side of a…

A: Given,

Q: From the top of a 214-ft lighthouse, the angle of depression to a ship in the ocean is 29. How far…

A: From the top of a 214-ft light house, the angle of depression to a ship in the ocean is 29°. we have…

Q: A projectile is fired at a speed of 840 m/ sec at an angle of 60°. How long will it take to get 21…

A: Given:

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: I am about 286.3505 feet away from the base of the tree.

Q: 13 m a 11 m

A: We have to find angle a

Q: The length of a shadow of a tree is 125 feet when the angle of elevation of the sun is 31°.…

A:

Q: A ship travels west at 25 knots. At 7:30 p.m., the captain sees a floating becon due south of the…

A: to find:- distance between ship & beckon at the first sight.

Q: Assuming that a 340-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Suppose that the person height is negligible. Since it is a right angle triangle we can apply SOH ,…

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A:

Q: A batter hits a ball toward second base at 76 ft/sec and runs toward first base at a rate of 24…

A:

Q: O From a point S due south, the angle of el- evation of the top of a vertical mast is 38°. From…

A:

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Height of redwood = 380 ftAngle of elevation = 51°Let distance between me and the base of redwood =…

Q: Pablo is on vacation at a tropical bay that has three islands. He rents a boat on Island A and plans…

A: Distance between Island A and Island C is 14 miles Distance between Island A and Island B is 13…

Q: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300 m. The pilot…

A: To Determine: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300…

Q: The builder of a parking garage wants to build a ramp at an angle of 12 that covers a horizontal…

A:

Q: Assuming that a 320-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: The height of the redwood is 320-foot. The angle of elevation made on the top of tree is 55°

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: A 20-foot ladder is leaning up against a wall. The angle formed with the base of the ladder and the…

A:

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

Q: Find the angular velocity, in radians per minute, associated with the given revolutions per minute…

A: Given,           4413 rpm

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.