Question

The diagonal braces in a fire tower are 26 ft long

Answer 1

Answer:

The height each brace reaches vertically is 10 feet

Step-by-step explanation:

Let

h -----> the height each brace reaches vertically in feet

d ----> the diagonal braces in feet

x ----> the horizontal distance in feet

Applying the Pythagoras Theorem

$d^2=h^2+x^2$

we have

$d=26\ ft\\x=24\ ft$

substitute

$26^2=h^2+24^2$

Solve for h

$h^2=26^2-24^2$

$h^2=100$

$h=10\ ft$

therefore

The height each brace reaches vertically is 10 feet