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 15.3 feet tall?
Cross multiply and solve for x.
4.2/12.6 = 15.3/x
15.63_
To find out the length of the shadow for an object that is 15.3 feet tall, we can set up a proportion using the given information:
Let's call the length of the shadow for the 15.3-foot-tall object "x".
The proportion can be set up as follows:
4.2 feet (height of the first object) / 12.6 feet (length of the first shadow) = 15.3 feet (height of the second object) / x feet (length of the second shadow)
To solve for "x", we can cross-multiply and then divide:
4.2 feet * x feet = 12.6 feet * 15.3 feet
4.2x = 192.78
Now, divide both sides of the equation by 4.2:
x = 192.78 / 4.2
x ≈ 45.9
Therefore, the length of the shadow for an object that is 15.3 feet tall would be approximately 45.9 feet.