1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume thescenario can be modeled with right triangles. At what rate is the length of the person's shadowchanging when the person is 16 ft from the lamppost?20 ft7 fttall5 ft/secdistancefrom lampost- shadow-length2) Identify all known and unknown variables and constants that are referenced in the wordproblem. For example, you could say "x = the distance from earth to mars, the radius of earth isa constant, and dx/dt = rate of change in the distance from earth to mars. The problem gives usthat dx/dt = -3 when x = 7."3) Which of the values in part 2 is the question asking you to solve for? For example, you could say"It is asking to solve for dy/dt."4) What formulas/equations would you use to help you solve is equation and why? For example,you could say "I'd use the formula A = 0.5BH for the area of a triangle because those are therelevant equations quantities involved in the problem. Then I can implicitly differentiate theproblem in order to find dB/dt.

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1) A7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with right triangles. At what rate is the length of the person's shadow changing when the person is 16 ft from the lamppost? 20 ft 7 ft tall 5 ft/sec E distance from lampost shadow- length