Respuesta :
Answer:
35 ft
Step-by-step explanation:
The arch is in the shape of a semicircle.
The distance around the arch is about 110 feet. This is the same as the circumference of the arch.
The height of the arch is the radius of the arch.
The circumference of a semicircle is given as:
[tex]C = \pi r[/tex]
where r = radius
Therefore:
110 = πr
=> r = 110/π
r = 35.01 ft ≅ 35 ft
The height of the arch is 35 ft
The height of the arch in feet is 35 ft.
Calculation of the height:
Since The distance around the arch is about 110 feet.
We know that
The circumference of a semicircle should be
110 = πr
[tex]r = 110/\pi[/tex]
r = 35.01 ft
≅ 35 ft
hence, we can conclude that The height of the arch in feet is 35 ft.
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