S1+S2+S3 = 5 Ft.
S1 = S2 = S3
S1+S1+S1 = 5
3S1 = 5
S1 = 5/3 Ft. = 20 In. = S2 = S3.
(s/2)^2 + h^2 = S^2
(20/2)^2 + h^2 = 20^2. Solve for h.
S1 = S2 = S3
S1+S1+S1 = 5
3S1 = 5
S1 = 5/3 Ft. = 20 In. = S2 = S3.
(s/2)^2 + h^2 = S^2
(20/2)^2 + h^2 = 20^2. Solve for h.
Perimeter of the triangle = 5 ft
Side length of the triangle = Perimeter / 3 = 5 ft / 3 = 1.67 ft
Now, we can find the height of the yield sign by using the relationship between the height and the side length of an equilateral triangle. The height of an equilateral triangle is given by the formula:
Height = (sqrt(3) / 2) * Side length
Using this formula, we can substitute the side length of the triangle that we found earlier:
Height = (sqrt(3) / 2) * 1.67 ft
Calculating the height:
Height ≈ (1.732 / 2) * 1.67 ft
Height ≈ 0.866 * 1.67 ft
Height ≈ 1.445 ft
To the nearest inch, the height of the yield sign is approximately 1 foot and 5 inches.