Ask Question
3 September, 18:27

A tower casts a shadow 11 feet long. The distance from the top of the tower to the end of the shadow is 61 feet. How many feet tall is the tower?

+1
Answers (1)
  1. 3 September, 18:38
    0
    If you draw out the diagram, you should have a right triangle, where the height of the triangle is how tall the tower is (x), the base is the length of the shadow (11), and the distance from the top of the tower to the end of the shadow is the hypotenuse (61).

    the pythagoreon theorem states that for any right triangle:

    a² + b² = c²

    a is side 1, b is side 2, and c is the hypotenuse.

    Knowing this, we can plug in the values 11 and 61.

    11² + b² = 61²

    121 + b² = 3721

    b² = 3600

    b = 60

    The tower is 60 feet tall.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A tower casts a shadow 11 feet long. The distance from the top of the tower to the end of the shadow is 61 feet. How many feet tall is the ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers