Answer:
The height reached by ladder on the building is 30 ft.
Step-by-step explanation:
Let x be the height reached by ladder on the building.
Since, the building must be perpendicular with respect to surface,
Thus,
(The length of the ladder)² = (The base of the ladder from the building)² + ( The height reached by ladder on the building)²
Given,
The length of the ladder = 34 ft,
The base of the ladder from the building = 16 ft.
So,
![34^2 = 16^2 + x^2](https://tex.z-dn.net/?f=34%5E2%20%3D%2016%5E2%20%2B%20x%5E2)
![1156 = 256 + x^2](https://tex.z-dn.net/?f=1156%20%3D%20256%20%2B%20x%5E2)
![1156 - 256 = x^2](https://tex.z-dn.net/?f=1156%20-%20256%20%3D%20x%5E2)
![900 = x^2](https://tex.z-dn.net/?f=900%20%3D%20x%5E2)
![\implies x = 30](https://tex.z-dn.net/?f=%5Cimplies%20x%20%3D%2030)
Hence, the height reached by ladder on the building is 30 ft.