The altitude of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is increasing at a rate of 4 cm²/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 90 cm2?

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 speed of 5 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50 ft from the base of the pole? ft sec

A cylindrical vessel whose diameter and altitude are 26 cm and 500 cm respectively, is filled with water to half its height. What is the increase in the water level if a ball 6 cm in diameter is placed in the vessel?

The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the triangle is increasing at a rate of 3 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 10.5 centimeters and the area is 87 square centimeters? cm/min

MAXIMA-MINIMA and RELATED RATE APPLICATIONS

The base of a triangle increases at a rate of 3 cm per minute while the height of the triangle decreases at a rate of 2 cm per minute. At what rate is the area of the triangle changing with respect to time when the height is 10 cm and the base is 15 cm? Be sure to write units for your answer.