A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.Which of the following could be the lengths of the shadows?Choose 2 answers:The answer is B and d
Accepted Solution
A:
The relationship between the height and shadow length is a direct proportionality type of relationship. That is, the higher the height, the longer the shadow and vice versa. The ratio of height to shadow length is a constant. Therefore, if x and y are are the length of shadow of tether ball pole and flagpole receptively,
When x= 1.35 m y=(6.8/3)*1.35 =3.06 m When x=1.8 m y= (6.8/3)*1.8 = 4.08 m When x= 3.75 m y=(6.8/3)*3.75 = 8.5 m When x= 0.6 y= (6.8/3)*0.6 = 1.36 m When x=2 y= (6.8/3)*2 = 4.533 m
Therefore, it is true that B and D are the true answers.