A car manufacturer advertises that its new sports car has a turning radius of only 16 feet. The front tires are 4.5 feet apart.
The path of the inside and outside tires is shown in the diagram. Compare the distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle.
2 answers:
Answer:
Solution given:
radius of small circle[r]=16-4.5ft=11.5ft
radius of large circle[R]=16ft
nowcircumference of small circle=2πr=2*3.14*11.5=72.22ft
circumference of large circle=2πR=2*3.14*16=100.48ft
distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle
=
ratio is <u>32:23.</u>
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Answer:
the span of the bridge is 73.7 feet
Step-by-step explanation:
The equation of an ellipse with a vertical major axis(i.e major axis parallel to y axis) is given by:
a>b
where (h,k) are the coordinates of the center of the ellipse, a is the length of the major axis and b is the length of the minor axis
For this problem, the center of the ellipse (h,k) = (0,0)
Therefore:
The top of the arch is 20 feet above the ground level (the major axis), therefore a=20
length of the major axis = 2a= 2*20 = 40
The coordinates of the ellipse (x,y) = (28,13)
b² ≅ 1358
b≅36.85
Length of minor axis (2b) = 73.7 feet.
the span of the bridge is 73.7 feet