36. One end of a 13-foot ladder is on the ground. and the other end rest against the side of the house (vertical siding). If the bottom end is drawn away from the wall at 3 feet per second, how fast is the top of the ladder sliding down the house when the bottom of the ladder is 5 feet from the side?

Q: 5. A kite 100 feet above the ground is being blown away from the person holding its string in a…

A: So, here x2+1002=s2...(1) Given dxdt=10 Now, at s=200, from (1):…

Q: You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 379 km south and 232…

A: Given : Joint Base Lewis-McChord location 379 km south and 232 km east use this to find out the…

Q: . At exactly 5pm., Boyet left Pasay using his car. One  hour later, Joseph left the same place and…

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Q: A rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

Q: Suppose a hiker finds himself in a forest 4 miles from the nearest point on a straight road. He…

A:

Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: Just observe that increment of 2% to the original 100% means 102% which is equal to 1.02

Q: In the aftermath of a car accident, it is concluded that one driver slowed to a halt in 9 seconds…

A: Given, Distance skidded= 400feet Time taken= 9seconds Speed of skidding = Distance/time Substituting…

Q: After eight years of dating, a female broke up with her lover on a rainy day. They chose to split up…

A: Given:- After eight years of dating, a female broke up with her lover on a rainy day. They chose to…

Q: A prisoner, 1.80 meters in height, was discharged in consideration due to his advanced in age. In…

A: Given:- Arrow hits in the Centre of the body Acceleration of the Prisoner=0.012 t (varying with…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given: Distance between shoreline and Anglo= 2 kilometers. Distance between Anglo's house and…

Q: Suppose that 2 Joules of work is needed to stretch a spring from its natural length of 40 cm to a…

A:

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A:

Q: 4. Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost…

A:

Q: A force is applied to a particle, which moves in a straight line, in such a way that after each…

A: A geometric series is convergent if common ratio is less than 1. Sum of infinite geometric series is…

Q: you’re flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 64km south and 128km…

A:

Q: A water trough Is 15 feet long, and its cross section Is an equilateral triangle with sides 4 feet…

A: Answer is mentioned below

Q: 2. Two cars, one going east with the speed of 45 mph while the second car heading south at 70 mph,…

A: Solution ) the rate at which they are approachung each other = 45 + 70  = 115 m/ h For car 1  Speed…

Q: 16 mi/h and the other travels west at 12 mi/h. At wha

A:

Q: Given the question: A tank shaped like a right circular inverted cone with radius 5 meters and…

A:

Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: It is given that the plant grows 1.67 cm in its first week. Each week the plant grows by 2% more…

Q: Suppose a hiker finds himself in a forest 3 miles from the nearest point on a straight road. He…

A: Given, Suppose a hiker finds himself in a forest 3 miles from the nearest point on a straight road.…

Q: A train, starting at noon, travels north at 40 ml per hr. Another train, starting from the same…

A:

Q: 13. A 10-meter ladder is leaning against a vertical wall with its foot on the same horizontal plane…

A:

Q: 3. A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream…

A: Let the man goes x miles downstream. Assume, the man takes t1 hour to go downstream and t2 hour to…

Q: Bikers A andB are traveling on perpendicular roads. At the same time, biker A is leaving the…

A:

Q: 2. A man walks across a bridge at the rate of 5 ft/s as a boat passes directly beneath him at10…

A: From the given data , Man walks across a bridge in one second AC=5 feet and boat passes in one…

Q: A 10-meter ladder is leaning against the wall of a building. It begins to slide down the wall. When…

A: Let l denote the length of the ladder leaning against the wall of a building Let x denote the…

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

A:

Q: b) A train runs 240 miles at a speed of 60 m.p.h., another 480 miles at a speed of 80 m.p.h., then…

A: first part distance of journey travelled D1 = 240 miles speed of the the train in the first part of…

Q: If it takes 1.5 hours for 5 workers to carpet 5 rooms in a newly built large motel, where all rooms…

A:

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A:

Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

A:

Q: 2. An iPhone 13 pro max is dropped from the top of the Balayong Park monument, 225 ft high. (a) How…

A: This question can be solved by using the equations of motion.

Q: The question is Romeona and Julieton are planning to elope. Julieton must first rescue Romeona from…

A: Given Length of ladderL=20 foot

Q: 4. A father is running west at 5 m/hr and his son is running north at 6 m/hr. Both are headed for…

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

Q: A baseball diamond has equal sides of 90ft in length and each pair of adjacent sides are…

A:

Q: 2. A motorist travels for 20km at one speed, and then increased her speed by 20 kph for next 30 km.…

A:

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

A:

Q: 8. If a plan is moving horizontally at 100 mi and is falling at 10 mi how fast must an observers eye…

A: Solution

Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

A:

Q: 29. A kite 100 feet above the ground is being blown away from the person holding its string. It…

A: Solution Let initially  kite was at position A while person holding Kite was at position O such that…

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A:

Q: A man, running 3 meters per second in an open field, runs east for 30 seconds, then turns north.  If…

A: Since the man ran 3m/s east for 90 sec so he is 90 m from the searchlight. Consider the diagram…

Q: the minute hand of a clock is 15 mm long and the hour hand is 12 mm. How fast is the distance…

A:

Q: 6) A light is 20 meters above a straight horizontal path. If a man 1.65 meters tall is walking away…

A: Given: Height of light is 20 meter. Height of man is 1.65 meters. Rate with which man is walking is…

Q: In the aftermath of a car accident, it is concluded that one driver slowed to a halt in 16 seconds…

A: velocityv^2=2aSv=sqrt(2*a*s)=sqrt(2*a*1075)Vmax=45

Q: A baseball diamond has the shape of a square with sides 90 feet long.  Suppose that player A is the…

A: Use Pythagoras theorem

Q: A contractor estimated that a project will be finished by his crew in 60 days. After the crew worked…

A: Given a contractor estimated that a project will be finished by his crew in 60 days. After the crew…

Q: OH NO!! CERTAIN DOOM: Car A is traveling west at 50 mi/hr and car B is traveling north at 60 mi/hr.…

A:

Q: 2. Ship A is 15 miles east of O and moving west at 20 mi/hr, ship B is 60 miles south of O and…

A: Given : Ship A is moving west at 20 mph and ship B is moving north at 15 mph