Question 1195147
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The diagonal of a 16-foot square forms a 45-degree angle with each side of the square; a side of the square is the side opposite the 45 degree angle and the diagonal is the hypotenuse; opposite divided by hypotenuse is sine.<br>
{{{sin(45) = 16/x}}}
{{{sqrt(2)/2 = 16/x}}}
{{{x = 16(2/sqrt(2)) = 16sqrt(2)}}}<br>
Since the answer is to be given to the nearest tenth, using an approximation for the square root of 2 to 3 decimal places should suffice.<br>
16(1.414) = 22.624<br>
To the nearest, tenth, 22.6 feet.<br>
ANSWER: 22.6 feet<br>