An object 5.7 feet tall casts a shadow that is 17.1 feet long. How long in feet would the shadow be for an object which is 19.5 feet tall?
5.7/17.1 = 19.5/x
Cross multiply and solve for x.
An object 5.7 feet tall casys a shadow that is 17.1 feet long. How long in feet would the shadow be for an object which is 19.2 feet tall
To find out how long the shadow would be for an object that is 19.5 feet tall, we can set up a proportion:
Height of Object 1 / Length of Shadow 1 = Height of Object 2 / Length of Shadow 2
Let's assign variables to the given values:
Height of Object 1 = 5.7 feet
Length of Shadow 1 = 17.1 feet
Height of Object 2 = 19.5 feet
Length of Shadow 2 = ?
Now, we can solve for the unknown variable, Length of Shadow 2, using the proportion:
5.7 / 17.1 = 19.5 / Length of Shadow 2
To solve for Length of Shadow 2, we can cross-multiply:
5.7 * Length of Shadow 2 = 17.1 * 19.5
Next, simplify the equation:
5.7 * Length of Shadow 2 = 333.45
Now, isolate Length of Shadow 2 by dividing both sides of the equation by 5.7:
Length of Shadow 2 = 333.45 / 5.7
Calculating this further, we get:
Length of Shadow 2 ≈ 58.44 feet
Therefore, the shadow for an object that is 19.5 feet tall would be approximately 58.44 feet long.