a ladder 28.86m long stand against a wall so that its bottom is 3.3 m away from the wall. how high up on the wall is its top

Question

plz i want the answer before sunday plzzzzzz

Answer 1

OK, young man, here's my advice to you.  The ladder, the wall, and the ground between the ladder and wall form a right triangle.  The ladder is the hypotenuse, side c, and is = 28.86m.  The leg from the base of the ladder to the wall forms side a of the triangle and is 3.3 m long.  The third side, b, is the distance the ladder is up the wall.

               
                    /|
side c        / |
(ladder) /   | side b
              /     | (wall)
            /__ _ |
            side a
          (ground)

 

Side c = 28.86 m and side a = 3.3 m, we can find side b - the height of the ladder up the wall - by using the Pythagorean Theorem:

 

a² + b² = c²

 

(3.3)² + b² = (28.86)²

 

b² = (28.86)² - (3.3)²

 

b² = 832.89 - 10.89 = 822

 

b = √822 = 28.67 feet