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,
[tex]34^2 = 16^2 + x^2[/tex]
[tex]1156 = 256 + x^2[/tex]
[tex]1156 - 256 = x^2[/tex]
[tex]900 = x^2[/tex]
[tex]\implies x = 30[/tex]
Hence, the height reached by ladder on the building is 30 ft.
