Complete the following questions on your own paper. Each question should include an illustration, a statement of given information, an equation, and what variable is missing. You then need to solve for the missing information or answer the question. Make sure all your work is neat and legible.Seven-foot-tall, Denver Nuggets Center, Nikola Jokic was walking toward a 17 ft tall lamppost at a rate of 4ft/sec to meet a friend. Assume that this scenario can be modeled with right triangles. At what rate is the length of Nikola's shadow changing when he is 12 ft from the lamppost?\fA conical funnel is 10 cm tall with a radius of 10 cm. The bottom of the funnel is open so that the water level goes down at a rate of 2 cm/sec. At what rate is the volume of water in the funnel changing when the water level is 9 cm?A reporter stood 500 ft away from the launch pad of the Spacex Crew Dragon spacecraft as it was launched into space with a Falcon 9 rocket on May 30, 2020. The spacecraft blasts off and maintains a velocity of 700 ft/sec. Assume the scenario can be modeled as a right triangle. How fast is the reporter to spacecraft distance changing when the spacecraft is 1200 ft from the ground