An object 4.2 feet tall casts a shadow that is 12.6 feet long. How long in feet would the shadow be for an object which is 20.4 feet tall?
a.12 feet
B.6.8 feet
C.28.8 feet
d.61.2 feet
Let's use a proportion.
4.2/12.6 = 20.4/x
Cross multiply and solve for x.
height/shadow = 4.2/12.6 = 20.4 /x
4.2 x = 12.6 * 20.4
x = 12.6 * 20.4 / 4.2
x = 61.2
check, the shadow should be about three times as long as the object is high in this problem. It is.
61.2=12.6 * 20.4
To solve this problem, we can set up a proportion.
The height of the object is directly proportional to the length of its shadow.
Let's call the length of the shadow for the taller object "x". We can set up the proportion as follows:
4.2 feet / 12.6 feet = 20.4 feet / x
To solve for x, we can cross-multiply:
4.2 feet * x = 12.6 feet * 20.4 feet
Now, let's solve for x:
4.2x = 12.6 * 20.4
4.2x = 257.04
x ≈ 61.2 feet
So, the length of the shadow for an object that is 20.4 feet tall would be approximately 61.2 feet.
Therefore, the correct answer is (d) 61.2 feet.