A kite 100ft above the ground moves horizontally at a speed of 8ft/s. At what rate is the angle between the string and the horizontal decreasing when 300ft of string has been let out? Answer (in radians per second):

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

A: Let θ denote the angle between thw ladder and the ground

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A: Length of ladder is l= 10ft X=8 ft, dx/dt= 18ft/sec From the fig l =[ x2 + y2 ]0.5= 10 a) from…

Q: A kite 100 ft above the ground moves horizontally at a speed of 10 ft/s. At what rate is the angle…

A:

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A:

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A:

Q: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: .

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A: First I have drawn the diagram of the given situation and then using them solved the problem and…

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A:

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…

A: topic - trigonometric ratios and application of derivatives

Q: A spy uses a telescope to track a rocket launched vertically from a launching pad 6 km away, as in…

A: Given that

Q: A man 6 ft tall is walking at the rate of 3 ft/s toward a streetlight 18 ft high (see Figure 1). (a)…

A: By using similarity rule:

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

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A:

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A: We have to apply the application of trigonometry

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Q: (c) Find the rate at which the angle between the ladder and thewall of the house is changing when…

A: Let θ = angle between top of ladder and wall   Let x = distance from base of ladder to wall   Base…

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A: Given that: A=3θ+4sinθ+12sin2θ Therefore, rate of change of area charging is as following: dAdt.…

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A:

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A: Let V1 be the velocity of the air and V2 be the velocity of the runner, then the relative velocity…

Q: 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base is…

A:

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

A:

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Rate of change

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A: We need to find the rate at which top of ladder sliding down

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A: Given: A 10​-ft ladder is leaning against a house when its base starts to slide away. By the…

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A:

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A: 9- Given- The ballon leaving the ground 60ft. from the observer rises 10 feet per second. To find-…

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A: Given:

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A: Let the distance of the base from the wall is x ftAnd the top of the ladder is y ft high. Then x and…

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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.