SOLUTION: 2. When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is SAndy, to the nearest inch?
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Question 147778: 2. When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is SAndy, to the nearest inch?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, let's draw out the problem:
From the drawing, we can see that the opposite side is "x" and the adjacent side is 110 (note: 9 feet 2 inches = 110 inches). So we must use the tangent function to find x
Start with the tangent function.
Plug in the given angle and the two sides.
Multiply both sides by 110.
Rearrange the equation.
Evaluate tan(32) to get 0.625
Multiply
So Sandy is 68.736 inches tall. Rounding this to the nearest inch gives us 69 inches which is 5 feet 9 inches.
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