A boy that is 3 ft tall casts a shadow that is 2ft long find the length of the shadow of a 9 ft tall basketball hoop
3/2=9/x
I have that same question. I am doing a math adder to ROBLOX.
To find the length of the shadow of a 9 ft tall basketball hoop, we can use the concept of similar triangles. Similar triangles have the same shape but may differ in size.
Let's set up a proportion using the given information:
Height of the boy (h1) = 3 ft
Length of the boy's shadow (s1) = 2 ft
Height of the basketball hoop (h2) = 9 ft
Length of the basketball hoop's shadow (s2) = ?
We can set up the proportion using the ratios of corresponding sides:
(h1 / s1) = (h2 / s2)
Now, let's substitute the given values into the proportion:
(3 / 2) = (9 / s2)
To solve for s2 (length of the basketball hoop's shadow), we can cross-multiply:
3 * s2 = 2 * 9
Simplifying the equation:
3 * s2 = 18
Now, divide both sides by 3:
s2 = 18 / 3
The length of the shadow of the 9 ft tall basketball hoop is 6 ft.