Question

Please help quickly!! The pictures include the question!

Answer 1

The answer to your question is 250

Answer 2

D. 256 feet

Explanation:

We are solving for the diameter, but first let's get the radius, which is either AC or AD.

Let's think about this in terms of the triangles: what do we know? Both triangles are right triangles, which means we can apply the Pythagorean Theorem:

`a^(2) + b^(2) = c^(2)` , where a and b are legs and c is the hypotenuse.

Let's focus on the left triangle, ACE.

• We can figure out that CE = 100 ft because CD = 200, and CE is half of CD.
• We were given that AE = 80 ft.
• Now all that's left is AC, which we can solve for.

`a^(2) + b^(2) = c^(2)`

`100^(2) + 80^(2) = c^(2)`

16400 =
`c^(2)`

`√(16400) = \sqrt{c^(2) }`

c = 128.06 = AC

AC is the radius, which is half the diameter, so the diameter is 128.06*2 = 256.12 = about 256 feet.