A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+2t^0.5, where t is the time in seconds and S(t) is the distance in feet from the top of the building. Step 1 of 3 : If the coin hit the ground in exactly 1.8 seconds, how high is the building? Round your answer to 2 decimal places.

The height of the building is of 48.24 feet.

Step-by-step explanation:

Height after t seconds:

The height after t seconds of the coin is given by:

In which h is the height of the building.

If the coin hit the ground in exactly 1.8 seconds, how high is the building?

This means that when . We use this to find h.

The height of the building is of 48.24 feet.

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.

my dear correct answer is option number 3