An observer is 20m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 20m horizontally from the observer. the angle of elevation of the elevator is the angle that the observer's line of sight makes the horizontal. assuming that the elevator rises at a rate of 5 meters a second what is the rate of change of the angle of elevation on the elevator 10 meters above the ground? (list steps with answer if possible)

If every second it is going above five then the 10 will go above 15 above 20 and on. Hope this helped.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752