The formula sequals16tsquared is used to approximate the distance s, in feet, that an object falls freely from rest in t seconds. the height of a building is 1180 feet. how long would it take for an object to fall from the top?

It would take 8.587 seconds

Step-by-step explanation:

The equation used to approximate the distance is

S = 16*t^2

The height of a building is 1180 feet, this means

1180  =  16*t^2

t^2  = 1180/16

t^2  = 73.75

t =  sqrt (73.75)

t = 8.587 s

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.