Two people are driving from the same point. One drives east at 3 mi/h and the other drives north east at 2 mi/h. How fast is the distance between the people changing after 15 minutes? Use cosine law: ?2=?2+?2−2??cos?

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Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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A: The diagram of the situation is shown below:

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A: Write the tangent ratio for angle .

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A: Given that A street light is at the top of a 17ft tall pole.  A woman 6ft tall walks away from the…

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

A: To find: The rate at which the angle between the ladder and the ground  is changing

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A: Given:- The given lamp post 3m high is 6m from a wall The given man's height is 2m The man is…

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Q: A 6 ft tall Batman runs (into the night) away from a 10 ft streetlamp at a rate of 1 How fast is his…

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

A: Given that a ladder 10 ft. long leans against a vertical wall. Bottom of the ladder slides away from…

Q: An 8 ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

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

A: →cosθ = BaseHypotenuse→sinθ = 1-cos2θ→dcosθdθ = -sinθ

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A:

Q: A 8,511 newton car is initially at rest. How much force (in Newton) is required to move the car by…

A: 2

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A: Given Data: The height of the bird above the ground is: y=150 ft The speed of the bird is: x'=11…

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Topic:- algebra

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A:

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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…

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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: From the given problem: v=dsdt=8ft/sec. Let, Distance,  Woman to pole→SShadow to pole→x  So, the…

Q: An 8 ft. ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

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Q: A lighthouse, L, is on an island 4 mi away from the closest point, P, on the beach. If the…

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Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: s. How fast (in knots) is the distance between the ships changing at 4 PM? (Note

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Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

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

A: To determine the rate of change of angle between the ladder and the ground.

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A: An aircraft is climbing at a constant 30 degree angle to the horizontal and the speed is 500 mph…

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Q: A ship, moving 6 km per hour, sails north for 2 hours, then turns east. If a searchlight at the…

A: We can find the answer as below.

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

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A: Form the situation on a right triangle and use trigonometric ratio than differentiate.

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: The radius of the tires of a car is 18 inches, and they are revolving at the rate of 673 revolutions…

A: To find the circumference of the tyre.

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 street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Solve the given problem.

Q: A ladder 10 ft long leans against a vertical wall. If the bottomof the ladder slides away from the…

A: Given - A ladder 10 ft. long leans against a vertical wall. If the bottom of the ladder slides away…

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Heights and distance

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

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A ladder 9 ft long rests agains a vertical wall. If the bottom of the ladder slides away from the…

A: Let the distance between base B of the wall and bottom of the ladder C, BC= x feet  And the angle…

Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: