A camp tent is shaped like a triangular prism. If the sides slope at 59.3° above the ground, how wide must the tent be to accommodate a 5.75-ft tall man standing up?
7.37 ft
6.83 ft
0341 ft
05.49 ft
To solve this problem, we can use trigonometry.
Let's consider the triangle formed by the ground, the height of the man, and one of the sloping sides of the tent.
The given angle of 59.3° represents the angle between the ground and one of the sloping sides. We can use the tangent function to find the width of the tent.
tan(59.3°) = height of the man / width of the tent
tan(59.3°) = 5.75 / x
x = 5.75 / tan(59.3°)
x ≈ 5.75 / 1.4679
x ≈ 3.92 ft
Therefore, the width of the tent must be approximately 3.92 ft.