A radar is placed on a post 7 meters above a road. A car approaches the pole. At the moment the distance from the car to the pole is 24 metres, the radar shows that the distance from the car until the radar decreases at 30 meters per second. How fast is the car going?

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast is the tip of his shadow moving when he is 30 ft from the pole? 16/3 X ft/s Enhanced Feedback Please try again. Draw a diagram for this problem. Draw a right triangle with horizontal and vertical edges. Let the vertical edge be the pole. Draw another vertical line with one end on the hypotenuse: and the other end on the horizontal edge depicting the man. Label the distance between the man and the pole x and the distance between the man and the tip of the shadow y. Use properties of similar triangles to find a relation among x, y, the height of the man, and the height of the pole. Differentiate this equation with respect to time, t, using the Chain Rule, to find the equation for the rate at which the tip of the shadow is moving, (x + y). Then, use the values from the exercise to evaluate the rate of change of the distance between the…

Station A is at 130.6 km to the west of station B. At 11:00 am, car left station B north at a speed of 35.8 km/h. At noon, a car left station A toward east at a speed of 40.7 km/h. How fast is the distance between the cars changing at 3:00 pm? Round the final answer to the nearest whole number. Provide a sketch.

Two roads intesect each other atr an angel 90 degrees. Cars A and B leave an intersection simultaneosly, one traveling doen a road at 40 mph and another traveiling down at 30mph. How fast is the distance between the cars changing after 3 minutes?