Question

Wesley is admiring a statue in Norwood Park. The statue is 12 feet taller than he is, and Wesley is standing 16 feet away. How far is it from the top of the statue to Wesley's head?

Answer 1

`color(blue)(=>20` feet

Explanation:

According to the figure,
A is Wesley's height.
B is the statue's height.
AC is the distance between Wesley and the statue.
`a=12` feet
`b=16`feet

Here, we have to find `c`

According to the Pythagoras Theorem,

`color(red)(=>a^2+b^2=c^2`

`=>12^2+16^2=c^2`

`=>144+256=c^2`

`=>c^2=400`

`c=sqrt400`

`color(blue)(=>20` feet

`therefore` From the top of the statue to Wesley's head, the distance is 20 feet

~Hope this helps! :)