Answer:
The ladder reaches 71.8ft high from the building
Step-by-step explanation:
This problem can be thought of as a right triangle
to calculate the height we will use Pythagoras
we will represent the ladder with the hypotenuse
h = hypotenuse = 72ft
l1 = leg 1 = 5ft
l2 = leg 2
h² = l1² + l2²
we replace with the known values
(72ft)² = (5ft)² + (l2)²
5184ft² = 25ft² + (l2)²
5184ft² - 25ft² = l2²
5159ft² = l2²
√(5159ft²) = l2
71.826ft = l2
round to the neatest tenth
l2 = 71.826ft = 71.8ft
The ladder reaches 71.8ft high from the building
