Answer:
Length of the shadow of player's sister is 5.25 feet.
Step-by-step explanation:
From the figure attached,
AB represents the basketball player and DE is his little sister.
Height of basketball player = 6.5 ft
Length of shadow of the player = 9.75 ft
Height of player's sister = 3.5 ft
Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{ED}{DC}[/tex]
[tex]\frac{6.5}{3.5}= \frac{9.75}{x}[/tex]
x = [tex]\frac{9.75\times 3.5}{6.5}[/tex]
x = 5.25 ft
Therefore, length of the shadow of player's sister is 5.25 feet.
