Answer:
The ladder goes up 1312.82 ft up the building.
Step-by-step explanation:
We will use the Pythagoras theorem which is:
a² + b² = c²
where
- a is the height at which the ladder will go up the building
- b is the distance at which the base of the ladder is away from the building
- c is the length of the ladder
Therefore, since we want the height at which the ladder will go up (a),
we will rearrange the equation above to be
a² = c² - b²
a = √(c² - b²)
a = √((1313)² - (22)² )
a = 1312.82 ft
Thus, the ladder goes up 1312.82 ft up the building.
