It is to be noted that the length of the shadows could be Options B and Option D:
B) Tetherball pole shadow: 1.8m Flagpole shadow: 4.08m
D) Tetherball pole shadow: 0.6m Flagpole shadow: 1.36m
The relationship between height and shadow length is one of direct proportionality.
That is, the longer the shadow, the greater the height, and vice versa. The height-to-shadow-length ratio is constant.
As a result, if x and y are the lengths of the shadows cast by the tether ball pole and flagpole, respectively,
6.8/y = 3/x
y = (6.8/3)x
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.
Full Question:
Although part of your question is missing, you might be referring to this full question:
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:
a. Tetherball pole shadow: 1.35m Flagpole shadow: 3.4m
b. Tetherball pole shadow: 1.8m Flagpole shadow: 4.08m
c. Tetherball pole shadow: 3.75m Flagpole shadow: 8.35m
d. Tetherball pole shadow: 0.6m Flagpole shadow: 1.36m
e. Tetherball pole shadow:2m Flagpole shadow: 4.8m