a 12- foot basket hoop has a shadow 9.6 ft long. how long is the shadow of a 6 ft adult standing next to the basket ball hoop
A( 3.6 ft
B( 4.8 ft
C( 4 ft
D( 2.4 ft
man is half as high, so shadow is half as long.
4.8
4.8
why?
if the hoop is 12 feet and the man is 6 ft, then the man is half the height of the hoop. the shadow for the hoop is 9.6, so because the man is half of the hoop, we divide 9.6 by 2. 9.6 / 2 = 4.8
have a wonderful day
To solve this problem, we need to use similar triangles. Since the height of the basketball hoop is 12 feet and its shadow is 9.6 feet, we can set up a proportion to find the ratio between the height and the shadow:
(height of the hoop) / (length of hoop's shadow) = (height of the adult) / (length of the adult's shadow)
Let's substitute the given values into the proportion:
(12 ft) / (9.6 ft) = (6 ft) / (x ft)
To solve for 'x,' we cross multiply:
12 ft * x ft = 9.6 ft * 6 ft
12x = 57.6
Now, divide both sides of the equation by 12:
x = 57.6 / 12
x ≈ 4.8 ft
Therefore, the length of the shadow of a 6 ft adult standing next to the basketball hoop is approximately 4.8 ft.
So the correct answer is B( 4.8 ft).