A train 220 m long is running with a speed of 59 kmph . In what time wil it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going ?

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Let x be the distance from the woman to the pole and y be the distance from the tip of the woman's…

Q: An airplane heading due east has a velocity of 200 miles per hour. A wind is blowing from the north…

A: The velocity of the plane=200 mph  The wind hits the plane in the direction of south. so, the…

Q: At noon, ship A is 160 km north of ship B. Ship A is sailing south at 40km/h and ship B is sailing…

A:

Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing…

A:

Q: A kite is 40 ft. high with 50 ft. of cord out. If the kite moves horizontally at 5 mi. per hr.…

A: Draw the position of kite as shown below.

Q: Two cars travel in opposite directions. One car drives at an average of 55 kph, while the other hand…

A: Here given that two cars travel in opposite directions.One car drives at an average of 55 kph, while…

Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west…

A: Given: Two cars start moving from the same point.One travels  south at 16m/h and the other travels…

Q: A certain escalator travels at a rate of 13.4 meters per minute, and its angle of inclination is…

A: So from the triangle we have: Answer(a): Vertical component of the velocity is 6.1667 meters per…

Q: Suppose you are standing such that a 40-foot tree is directly between you and the sun If you are 5…

A: Given,         Suppose we are standing such that a 40-foot tree is directly between you and the sun.…

Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A: distance between the ship A and B is 150 km speed of ship A is 35km/h so at time t, the distance…

Q: At noon, ship A is 100 km west of ship B. Ship A is sailing south at 25 km/h and ship B is sailing…

A: The below diagram represents the pictorial representation of the given problem.The position of the…

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Given that  At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B…

Q: An airplane travels at 165 km/h for 3 hr in a direction of 174 from a local airport. At the end of…

A:

Q: When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per…

A:

Q: A Plane (Plane A) travels North at a speed of 800 kph. after 15 minutes, another plane (plane B)…

A: Planes are moving same direction :

Q: A car traveling at 56 mph overtakes a cyclist who, riding at 14 mph, has hada 3 h head start. How…

A:

Q: At noon, ship A is sailing north at a speed of 7mph, at the same time ship B, 5 miles west of ship…

A: Given, at noon, Ship A is sailing north at a speed of 7mph. At the same time, Ship B, which is 5…

Q: The distance between two cities is 1700 km. How long will it take, in h, to drive from one city to…

A: given :-  distance  = 1700km speed      = 63mi/h                 = 63 X  1.609km/n

Q: As a car moves along a section of the roadway in a mountain pass, it passes through a Rise Run…

A: Consider the given figure as

Q: How far will an aircraft travel in 7 minutes, 12 seconds with a groundspeed of 125 knots?

A: The length of a path between two points is called distance.

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A ball is dropped from the top of a building 400 ft high.How long does it take to reach the ground?…

A:

Q: A jet plane traveling at 600 mph overtakes a propeller-driven plane which has had a 2 hour head…

A:

Q: If the raindrop is initially 500 m above the ground, how long does it take to fall? Find the

A:

Q: A 75 kg box is pushed off of a 120 m tall building with an initial horizontal speed of 15 m/s. How…

A: We have to first sketch the given situation.

Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude…

A:

Q: An automobile 20 feet long overtakes a truck 40 feet long that is traveling at 50. At what constant…

A: Let the speed of the automobile be v feet/second. Since both vehicle going in the same direction.…

Q: From a point 5.0 miles due north of aradio antenna, a hiker walks 2.0 mi west.The antenna is now S…

A: This is a simple word problem of right triangle. Before starting anything we need to draw a labeled…

Q: A street light is at the top of a 13 foot tall pole. A 6 foot tall woman walks away from the pole…

A: The given data is: A street light is at the top of a 13-foot tall pole A 6-foot tall woman walks…

Q: Car A is 40 km east of Car B and begins moving west at 40 km/h. At the same moment, Car B begins to…

A: Answer is in below steps.

Q: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

A:

Q: A train 220 m  long is running with a speed of 59 kmph .In what time will it pass a man who is…

A:

Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

Q: Two automobiles leave a city at a same time and travel along straight highways that in differ in…

A: Topic:- trigonometry

Q: A man 6-ft tall walks with a speed of 5 ft./sec. away from a street light that is a top of a 24-ft…

A:

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: In this question we have to find how fast is the distance between the ships is changing at 4:00 PM.

Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: First draw the figure according to question is given and use similar traingle to find the rate of…

Q: A rocket is launched with an initial upward velocity of 320 feet per second from an Initial height…

A: If the initial upward velocity and initial height of an object is given then the height function of…

Q: A ball is dropped from a height of 50 meters. If each bounce brings it to 90% of its previous…

A:

Q: A jet plane traveling at 570 mph overtakes a propeller-driven plane that has had a 2 h head start.…

A: Let x miles from the starting point does the jet overtake the propeller-driven plane.  We will use…

Q: Two cars F and G leave simultaneously from the same point O. Car F goes east at an average speed of…

A: As the starting point of the cars is O thus let the distance covered by car F in one hour be OF and…

Q: An aircraft is climbing at a constant 32 degree angle to the horizontal. If the speed is 550 mph,…

A: Refer to the question . An aircraft is climbing at a constant 32 degree angle to the horizontal and…

Q: A street light is at the top of a 15.0 ft. tall pole. A man 5.8 ft tall walks away from the pole…

A:

Q: The wheels on a racing bicycle have a radius of 10 inches. How fast is the cyclist traveling in…

A: Circumference of wheel = 2πr                                  = 2 × 22/7 × 10 inches Distance…

Q: A 13-meter ladder is leaning against a vertical wall. If the foot of the ladder is 5 meters away…

A: Given that 13-meter ladder is leaning against a vertical wall and at some time the foot of the…

Q: A ball is dropped from a height of 48 ft and rebounds two-thirds of the distance it falls. If it…

A: A ball is dropped from a height of 48 ft and rebounds two-thirdsof the distance it falls. it will…

Q: Two people start from the same point. One walks east at3 mi/h and the other walks northeast at 2…

A:

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Consider the following:

Q: A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road…

A: the car is at the position A at the start.  it travelled in the East direction that is from A to B .…

Q: A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, has hada 3 hour head start. How…

A: Ler x miles from the starting point the car overtakes the cyclist. We will use the formula: time…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.