Question

Explain how to solve the problem below. In your response, you must analyze the given information, discuss a strategy or plan to solve the problem, determine and justify a solution, and evaluate the reasonableness of the solution.
Chad casts a shadow that is 14.3 feet long. The straight-line distance from the top of Chad’s head to the end of the shadow creates a 23° angle with the ground. How tall is Chad, to the nearest tenth of a foot?

Answer 1

Answer:

6.1

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Step-by-step explanation:

Imagine right triangle with first leg to be the Chad length and second leg to be the Chad's shadow. Second leg has length 14.3 ft and since the straight-line distance from the top of Chad’s head to the end of the shadow creates a 23° angle with the ground, you could consider the trigonmetric function

tan23 = chad's length/chads shadow length

tan23 = chad's length/14.3

chad's length = 14.3 * tan23 = 6.1