Answer:
(B)1005 feet
Step-by-step explanation:
In the attached diagram

|AG|=1400 feet
Distance from point C to point G=|CG|
Using Trigonometry in Triangle ACG

Using Trigonometry in Triangle BCG'

Therefore, the distance from balloon B from balloon A
=CG+CG'
=808+197
=1005 feet
Answer:
a) distance halfway = 16.49 [m], displacement halfway = 10.5 [m]
b) distrance traveled increases when the child completes one circuit of the track.
Step-by-step explanation:
a) Distance is a scalar quantity that tells you how much space a body has covered when moving. Displacement is a vector quantity that tells you how far from its initial position and object is after moving.
In this case, the child goes around the track only halfway from point 1 to point 2. We know the circunference or perimeter of a circle to be 2*PI*radius. We also know the child only when halfway, so we need to divide the perimeter by 2, thus we get distance = PI*radius
- distance halfway = (PI)*(5.25) = 16.49 [m]
And now that we know the definition of displacement, we can easily see that the child went from point 1 to point 2 which is located at a distance of 1 diameter from point 1:
- displacement halfway = D = 2*radius = 2(5.25) = 10.5 [m]
b)What happens to the distance when the child completes one circuit? The distance will increase beause he is now completing the circuit so he is covering more ground in his movement:
- distance circuit = 2*(PI)*radius = 2(PI)(5.25) = 32.99 [m]
32.99 is more than 16.49 so we are certain that the distance increases.
The shortest distance would be from both cause they are bath the same length
The answer is 2, because if a number is a whole number, for example 2, you must multiply it by a number with 2 decimals, in this case 17.77, to get 34.44 based on this example.
*There are some cases where this doesn't apply, I think, but it does apply for your question.