A rock is thrown downward from the top of a building, 168 ft high, at an angle of 60 ◦ with the horizontal. How far from the base of the building will the rock land if its initial speed is 80 ft/s?

Q: The wheels of a car have radius 11 in. And are rotating at 550 rpm. Find the speed of the car in…

A: Radius of wheel = 11 inches  we know  wheel of car is shape of circle  so circumference of circle =…

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: What is the magnitude of the electrostatic force between a singly charged sodium ion (Na*, of charge…

A:

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

A:

Q: From the main entrance of a park there are 2 pathways where visitors can walk along going to the…

A: Topic:-  triangle and circle

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

A:

Q: A 12-foot ladder leans against a building and reaches a window 10 feet above ground. What is the…

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE BELOW.

Q: The wheels of a car have radius 11 in. and are rotating at 600 rpm. Find the speed of the car in…

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

A:

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

A:

Q: A ladder leans up against a building at an angle of 65° with the ground. If the ladder is 5 metres…

A: Given: A ladder leans up against a building at an angle of 65° with the ground. The ladder is 5…

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Here, AB is the ladder.AB=65∠ABC=65° We need to find the value of AC.

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

A:

Q: The wheels of a car have radius 11 in. and are rotating at 600 rpm. Find the speed of the car in…

A: First we have to calculate angular speed,and then we can use it to calculate linear speed  In last…

Q: A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75°…

A: Draw a schematic diagram of the given question. Given data, Length of ladder, AC = 33 ft Angle…

Q: An aircraft is climbing at a 30 degree an

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

Q: A ball is thrown from the top of one building toward a tall building 15m away. The initial velocity…

A: A ball is thrown from the top of one building toward a tall building 15m away. The initial velocity…

Q: The wheels of a car have radius 12 in. and are rotating at 750 rpm. Find the speed of the car in…

A: Given,

Q: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

A: ANSWER IS AS FOLLOWS:

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

A:

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 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: 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 21m tall house has an angular size of 2.2 degrees when viewed from a distance. How far away is the…

A: Recall the following. Angular size=sizedistance

Q: The wheels of a bicycle have radius 15 cm and are rotating at 140 rpm. Find the  speed of the bike…

A: We know,

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: If a cylinder with a 6 in. radius is spinning at 24 mph, find the angular velocity in rpm of a point…

A: Use the formula for angular velocity. ω=v×1r

Q: A ladder, 10 ft long, rests against a wall. If the bottom of the ladder slides away from the wall at…

A:

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

A:

Q: Find

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

Q: A ball is thrown with an initial velocity of 70 km per second, at an angle of 35° with the…

A:

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 81∘.…

A:

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: The wheels of a car have radius 10 in. and are rotating at 550 rpm. Find the speed of the car in…

A: This is Basic maths problem

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 62°.…

A: Given: Length of the ladder is, l=31 ft. Angle between ladder and the ground is, θ=62°. The…

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

A:

Q: A train traveling up in inclined of 4° travels a horizontal distance of 4 km. how much altitude has…

A:

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

A:

Q: 3. A railroad rail is 1 kilometer long and it expands on a hot day 10 centimeters in length.…

A: Consider the following figure For a small angle x in radians tanx≈sinx≃x Use this to create an…

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.