Problema Solution
A canopy has corner posts that are anchored by support lines. The length of each support line is 5 feet longer than the height of the post, and the support line is anchored at a distance that is 5 feet less than twice the height of the post. Determine the height of the corner post.
Answer provided by our tutors
let 'x' represent the height of the post, then 'x+5' represents the length of a support line
we have a right triangle with hypotenuse 'x+5', the length of the support line
the sides of the triangle are 'x' and '2x-5'
(x+5)^2 = x^2 + (2x-5)^2
solving for 'x' we have a non-zero value of x = 7.5
the height of the corner post is 7.5 feet