Solution :
Given :
The height of the person is 5 foot.
The height of the lamppost is 12 foot.
Speed of the person away from the lamppost = 4 ft/s
Let the distance of the tip of the shadow of the perosn to the pole at t seconds after the person started walking away from the pole be d(t).
By similarity of the triangles, we see that
.................(i)
Here x is the distance from the person to the tip of the shadow. As it is given the speed of the person is 4 ft/s, then the distance of the person from the pole 4t. So we have,
x = d - 4t .............(ii)
Putting (ii) in (i) and solving for d is
d(t) = 6.85 t
So now if we derive d(t), we will get the wanted rate of the tip of the shadow.
∴ d'(t) = 6.85 ft/s
D) 15.955 is the correct answer
Answer:
There are only 1
Pairs of integers satisfying a÷b = -2
Step-by-step explanation:
First year:
.3 x 2593 = 777.9
$2593 - $777.90 = $1815.10
Second year:
.3 x 1815.10 = 544.53
$1815.10 - $544.53 = $1270.57
Third year:
.3 x 1270.57 = <span>381.171
$1270.57 - $381.171 = $</span>889.39900
$889.39900 rounded to the nearest hundredth is $889.40