posted by timothy on .
A 75ft diagnol brace on a bridge connects a support of the center of the bridge The horizontal distance that it spans is 15ft longer than the hieght that reaches on the side of the bridge.Find the horizontal and vertical distance spanned by this brace
The diagonal brace is 75 ft. long.
The height of the diagonal is "h".
The horizontal distance that it spans is h + 15.
Thus,h^2 + (h + 15)^2 = 75^2 or
h^2 + h^2 + 30h + 225 = 5625.
Simplify and solve for h and h + 15.