Question

Help!!

help!!
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?

explain the full process please, I'm not good at explaining things.

Answer 1

Answer: The first thing I do is draw the right triangle with all the side lengths and angles from the problem. With what the problem provided us, I concluded that 23 degrees angle is going to represent A in the ABC triangle. The side adjacent to 23 degrees is Chad's shadow (14.3 feet). The side opposite is how tall Chad is. After looking at my choices from Sine, Cosine, and tangent, tangent was the best choice. I created the equation x/14.3=tan(23). Then I simplified the equation to x= (14.3) tan (23). Next, I go into the desmos graphing calculator and click the degree option, then enter my equation. finally, I simplified 6.0699898718 to 6.1.

Step-by-step explanation: Copy and paste that into your text box!

Answer 2

Assume Chad is standing up straight.
Chad, the shadow of Chad, and the line from the top of Chad's head to the end of the shadow form a right triangle.
Chad and the shadow are the two legs of the right triangle, the line form the top of Chad's heat to the end of the shadow is the hypotenuse.
the angle facing Chad is 23 degree.
One leg length is given. To find out other leg (the height of Chad), use tangent.
tan23=x/14.3
x=tan23*14.3
use a calculator, x≈6.07
this answer makes sense because 6 feet is about the height of a man.