Question

Find the value of x.

Answer 1

52.32

Explanation:

let the line perpendicular to x be a.

so 22² -14² = a²

55²-x² = a² = 22²-14²

so x² = 55² - 22² + 14² = 3025-484+196= 2345

solve for x = 52.32

Answer 2

Check the picture below.

`\cfrac{22}{14}=\cfrac{55}{x}\implies \cfrac{11}{7}=\cfrac{55}{x}\implies 11x=385\implies x=\cfrac{385}{11}\implies \boxed{x=35}`