Answer:
Step-by-step explanation:
Assuming Earth's gravity, the formula for the flight of the particle is:
s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160.
This has a maximum when t = -b/(2a) = -144/[2(-16)] = -144/(-32) = 9/2.
Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 feet.
Your vertex would be (3,4)
Im going to assume that 3√ is √3
And √3 is irrational because You cant square root it without getting nuked with a Random Number generator of decimals.
Use the Pythagorean theorem:

The ladder will reach approximately 14.14 feet (exactly 10√2 feet) up on the building.