Question 147778
First, let's draw out the problem:


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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


{{{tan(angle)=opposite/adjacent}}} Start with the tangent function.


{{{tan(32)=x/110}}} Plug in the given angle and the two sides.


{{{110tan(32)=x}}} Multiply both sides by 110.



{{{x=110tan(32)}}} Rearrange the equation.



{{{x=68.736}}} Evaluate tan(32) to get 0.625



{{{x=68.736}}} Multiply



So Sandy is 68.736 inches tall. Rounding this to the nearest inch gives us 69 inches which is 5 feet 9 inches.