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a ladder 13m long is placed in the ground in such a way that it touches the top of a vertical wall 12m high. find the distance of the foot of the ladder from the bottom of the wall.

(show your solution and illustrate the right triangle)​


Sagot :

Answer:

The distance of the foot ladder from the bottom of the wall is 5cm.

Step-by-step explanation:

Step 1-2: Read the questions carefully and illustrate the problem, also draw and label the triangle (illustration of the triangle has been indicated).

[tex]\: [/tex]

Step 3: Setting up the equation. Applying the Pythagorean Theorem Formula: a ² + b ² = c ² will be x ² + 12 ² = 13 ²

[tex]\: [/tex]

Step 4: Solve the equation.

  • x ² + 12 ² = 13 ² (by SPE)
  • x ² = 13 ² - 12 ²
  • x ² = (13+12) (13-12)
  • x ² = (25)(1)
  • x ² = 25
  • x = [tex]\sqrt{5}[/tex]
  • x = 5

[tex]\: [/tex]

Step 5: Write a therefore statement. Therefore, the distance of the foot of the ladder from the bottom of the wall is 5m.

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