A kite is 40 ft. high with 50 ft. of cord out. If the kite moves horizontally at 5 mi. per hr. directly away from the boy flying it, how fast is the cord being paid out?

Q: Consider a square of side L. By how much must the length of a side of this square be increased so…

A:

Q: steel girder 27 ft long is to be moved on a rollers along a passageway 8ft inches wide and into a…

A: We have to find a relative extremum for the width of the corridor (y) such that the girder can touch…

Q: 1. A 13-m ladder is placed against a building to reach a window that is 5 m above the ground. How…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: From a helicopter 12.8 m above a rest house, a boat is sight at a distance of 30.1 m. How far is the…

A:

Q: A 23​-foot ladder is resting against a wall of a building in such a way that the top of the ladder…

A:

Q: 5. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into…

A: Length of steel girder =27ft width of the passage way=8ft Let w be the width which has to be found.…

Q: Two airplanes leave an airport at the same time, one going northwest (bearing 135°) at 414 mph and…

A: Given that two airplanes leave an airport at the same time, one going northwest (bearing 135°) at…

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: . An aircraft is vertically above a point which is 10 km West and 15 km North of a control tower. If…

A:

Q: How far from the base of a building must a 25-ft ladder be placed so that it reaches 20 ft up the…

A: We will use Pythagoras theorem to find solution to the problem .

Q: A 25-foot ladder is placed 7 feet from the wall, as shown. 25 ft. 7 ft. If the top of the ladder…

A: Trigonometry Question

Q: 8. The drive wheel of an engine is 13 inches in diameter, and the pulley which it is driving is 5…

A: We need to find total length of belt.

Q: A piece of wire measuring 20ft is attached to a telephone pole as a guy wire. The distance along the…

A: A piece of wire measuring 20ft is attached to a telephone pole as a guy wire. The distance along the…

Q: A guy wire 25 ft long supports an antenna at a point that is 20 ft above the base of the antenna.…

A: Given

Q: A 23-foot ladder is placed againts a vertical wall of a building, with the bottom of the ladder…

A: Given, A 23-foot ladder is placed against a vertical wall of a building, with the bottom of the…

Q: A 10 ft ladder is leaning a wall. If the base of the ladder is 6 ft from the wall, how far up the…

A:

Q: A 24-foot ladder resting against a house reaches a windowsill 16 feet above the ground. How far is…

A: Length of ladder=24 foot

Q: A property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The…

A:

Q: How high up on a wall does a 34-ft ladder reach if the bottom of the ladder is placed 16 ft from the…

A:

Q: A pole 27 feet long is carried horizontally along a corridor 8 feet wide and into a second corridor…

A: The diagram will be

Q: A 12-ft ladder is used to reach the roof of a garage with a height of 10 ft. How far is the bottom…

A:

Q: When​ dropped, a ball rebounds to 1/8 of its original height. How high will the ball rebound after…

A:

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: 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

A:

Q: How long must the brace be on a closet rod holder if the vertical side is 17 cm and the horizontal…

A: Given Data: The horizontal length is: H=38 cm The vertical length is: V=17 cm   From the figure, the…

Q: A 25-foot ladder is placed 7 feet from the wall, as shown. 25 ft. 7 ft. How high up the wall will…

A:

Q: A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can…

A: Surface Area

Q: How far from the base of the house do you need to place a 15 feet ladder so that it exactly reaches…

A: We use Pythagoras theorem.

Q: The bottom of a ladder is placed 5ft away from a wall. The ladder is 13ft long. How far above the…

A: Length of ladder = 13 ft distance between wall and bottom of ladder = 5 ft Now, we have to calculate…

Q: Suppose a Red Oak is 30 ft high with a tree trunk radius of 2.5 ft and a Birch tree is 50 ft high…

A:

Q: A spring has a natural length of 10 in. An800-lb force stretches the spring to 14 in. How far beyond…

A: The spring stretches (14-10)=4 inches when it is of length 14 inches  Given that the force needed=…

Q: A square barn measures 42ft on each side. A goat is tethered outside by a rope that is attached to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Your hose fills a s pool is full in 1 ho alone?

A: your hose fills the pool in 3 hours.  Work done in 1 hour =13 Time taken when work together = 1 hour…

Q: A tennis ball is dropped from a height of 8ft. If the ball rebounds 3 over 4 of its height on each…

A:

Q: Two automobiles started at the same time from a point, but traveled inopposite directions. Their…

A:

Q: The minute hand of a large clock is 6 ft long. How far dose the point of the hand move in one hour?

A: The minute hand of a large clock is 6 ft long. How far does the point of the hand move in one hour?…

Q: before it hits the ground). If an object fell 75 ft in 4 seconds, how far will

A: Given query is to find the distance fallen in 8 seconds.

Q: 4. A steel girder 27 ft long is to be moved on rollers along a passageway 8 ft in width and into a…

A:

Q: A vertical pole is to be supported by a wire that is 26 feet long and anchored 24 feet from the base…

A: Given that: A vertical pole is to be supported by a wire that is 26 feet long and anchored 24 feet…

Q: A 52 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jace grabs the…

A:

Q: 2) A ladder is leaning against the side of a house. If the base of the ladder is 3 ft away from the…

A: We will use Pythagorean theorem to find answer to the question .

Q: The smaller tank in the photograph has a capacity of 1400 m3​ ​and the larger tank has a capacity of…

A:

Q: A manufacturer has an order for 20,000 megaphones. The megaphones, conical in shape, are to be 2…

A: This question is about a conical object formation. So, we have to use volume formula of cone having…

Q: To wash a window that is 12 feet off the groundAmanda leans a 13 foot ladder against the side of the…

A:

Q: a car is traveling at a speed of 65 mi/h. how long does it take to cover a distance of 235 m

A:

Q: A ladder 7 m long leans against a wall so that the foot of the ladder is 2 m from the wall. How far…

A:

Q: A plane flies due north for 50 mi, then due west for 15 mi, then due south for 10 mi, at which time…

A:

Q: A fence 10 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

A: Given that

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.