37. A ladder 10 ft long rests against a vertical wall. Let 0 be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to 60 when 0 = 7/3? %3D

Q: A man of height 1.9 meters walks away from a 5- meter lamppost at a speed of 1.5 m/s. Find the rate…

A: Let Bc represents the lamp post and MN represents man. Then BC=5m, MN=1.9 m Let MC=x , MA=y Since,…

Q: cm / min when the height is 2 m. Sand falls from a conveyor belt at a rate of 15 m° / min onto the…

A: Volume of cone=13πr2h As height of the cone is three- eighths of the base diameter Gives h=38(2r)…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: Given that  the altitude of a triangle increases at the rate of 1 cm/min while the area of the…

Q: A hot air balloon rising upwards is noticed by an observer who is 4 miles from where it is released.…

A: Given that a hot air balloon is rising vertically and being tracked by an observer located 4 miles…

Q: A kite flies at a height of 150 feet the wind carries the cut horizontally at 78 ft./s how fast will…

A: r

Q: A climber is climbing a mountain and after 3 hours is at an elevation of 300 metres. After 7 hours…

A: A climber is climbing a mountain and after 3 hours is at an elevation of300 metres. After 7 hours…

Q: Derek and Sandy leave an intersection at the same time. Derek travels north at 5 ft/s and Sandy…

A:

Q: Suppose you always keep your eyes fixed on the very top of a 100 m building. Suppose you start to…

A: Height of building = 100 m Let x be the base distance from the building Head angle = θ tanθ=100x

Q: A lighthouse is located 40 meters off-shore. The beam of light from the lighthouse rotates at a rate…

A: We will use derivative to find speed of the beam

Q: Two boats are moving toward a buoy along paths that makes a 90 degree angle. The first boat is 165…

A: