PSSR: (Systems) Fitness
Aileen and her brother Andrew had a
bicycle race. Aileen rode at a speed of 20
feet per second while Andrew rode at a
speed of 15 feet per second. To be fair,
Aileen decided to give Andrew a 150-foot
head start. The race ended in a tie. How far
away was the finish line from where Aileen
started? Include a graph to support your
solution

The finish line was 600 feet away from where the Aileen started.

Graph attached to support the solution.

Step-by-step explanation:

Let the total distance Aileen ran be 'x'

Let the distance ran by Andrew be 'y'

Refer to graph attached for graphical representation of distance travelled by both.

Applying the formula,

distance=speed*time

x=20*t      Equation  1

y= 15*t       equation 2

Since it can be easily understood by the graph attached, that

x=150+y  equation 3

Now putting values of x and y in equation 3

20*t =150 +15*t.

5t= 150

t=30 seconds.

putting the values of t in both the equation 1 and 2

x=20t

 =20*30

x  = 600 feet

So the distance ran by Aileen is 600 feet, whereas Andrew ran 450 feet.

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47