Answer:
A. 5.5 ft
Explanation:
You want the difference between the leg lengths of a 30°-60°-90° triangle with hypotenuse 15 ft.
30°-60°-90° triangle
The ratios of side lengths in this triangle are ...
1 : √3 : 2
The lengths of the legs in the figure are 7.5 ft times these amounts:
7.5 ft : 7.5√3 ft : 15 ft
The value y is the difference between the length of the side of the square, which is 7.5√3 ft, and the short side of the triangle, which is 7.5 ft.
y = 7.5√3 -7.5 = 7.5(√3 -1) ≈ 5.490 . . . . feet
The closest value to y is 5.5 ft.
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