Question: please solve this question A kite 100 ft above the ground moves horizontally at a speed of 14 /s. At what rate is the angle

please solve this question

A kite 100 ft above the ground moves horizontally at a speed of 14 /s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out? at rad/s Please try again. Let 0 be the angle between the string and the ground and X denote the horizontal distance of the kite. Then X is one leg of a right triangle with hypotenuse formed by the string; the other leg is facing the angle 0 and has length equal to the height of the kite. You need to use a trigonometric function to relate 6 and x and then differentiate the relation with respect to t. Finally, solve for 2? and find its value using the given values. Note that negative rate means the quantity is decreasing

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

A kite 100 ft above the ground moves horizontally at a speed of 7 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out?

1. [-/1 Points] SESSCALC2 2.7.003. Each side of a square is increasing at a rate of 8 em/s. At what rate is the area of the square increasing when the area of the square is 25 cm2? cmfs Need Help?...

19 19. [-/0.34 Points] DETAILS SCALCET8 3.9.030. 0/100 Submissions Used MY NOTES A A kite 100 ft above the ground moves horizontally at a speed of 14 ft/s. At what rate is the angle (in radians)...

1) V is the volume of a cube with edge length x and the cube expands as time passes. a) write an equation with amounts V and x . . . dV dx b t -- ) WI'l e an equation w1th rates (it and dt . dx . dV...

help me w/ this please B. [-15 Points] SCALCET8 3.5.073. The equation x 2 ASK YOUR TEACHER PRACTICE ANOTHER xy + y2 = 6 represents a "rotated ellipse," that is, an ellipse whose axes are not parallel...

4. A kite 100 ft above the ground moves horizontally at a speed of 9 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let...

A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let...

A kite 100 ft above the ground moves horizontally at a speed of 4 ft/s. At what rate (in rad/s) is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have...

A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out

A kite 100 ft above the ground moves horizontally at a speed of 10 ft/s. At what rate (in rad/s) is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have...

Johnalynn enters into the following transactions with regard to McKethan Corporation common and preferred stock: Date Transaction Amount 2/3/06 Purchases 500 common shares $15,500 9/8/17 Purchases...

2. C2 and C3 are cars parked by the side of the road. The speed limit of the road is 20 mph. C1 was driven by a negligent driver who was on an emotional rollercoaster due to his demanding girlfriend...

Compare and contrast futures and options contracts in energy markets. An ariline concerned about rising jet fuel costs, and oil producer worried about price volatility

A table for a monthly bank reconciliation dated September 30 is given below. For each item 1 through 12, indicate whether the item should be added to or subtracted from the book or bank balance, and...