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?

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Answer 1

Chad would be about 6 feet 1/5 inches

Answer 2

Answer:  6.07 Feet (Approx)

Step-by-step explanation:

Let the height of Chad is h feet,

Here, the height of shadow = 14.3 feet,

The angle from the top of the head of chad to the end of shadow = 23°

By the below diagram,

$\frac{\text{The height of chad}}{\text{The height of shadow}}=tan23^{\circ}$

⇒ $\frac{h}{14.3} = tan 23^{\circ}$

⇒ $h = 14.3\times tan23^{\circ}$

⇒ $h = 6.0699898718\text{ feet}\approx 6.07\text{ Feet}$