find height

Question

the height of the washington monument is 50.5 inches more than 10 times the length of a side of its square base. IF the sum of these two dimensions is 7327 inches, find the height of the washington monument.

Answer 1

OK, this is a complicated question, so we will work it one step at a time. First of all, there are two measurements that we are working with, the height of the Washington Monument(w) and the length of one of the sides of the square base (b). The first sentence gives us the following equation:

 

w + 50.5 = 10b

 

The second equation gives us:

 

w + b = 7327

 

If we solve for w in the first equation, we get:

 

w = 10b - 50.5

 

We can use the right side of that equation any time we see w in the second equation, so we get:

 

10b - 50.5 + b = 7327

 

Solving for b, we get:

 

11b = 7377.5

b = 670.68

 

Plug that in to the second equation and we get:

 

w + 670.68 = 7327

w = 6656.32