A building 65 feet tall casts a shadow 175 feet long. Ben casts a shadow 14 feet long. How tall is Ben?
Cross multiply and solve for x.
65/175 = x/14
To determine how tall Ben is, we can set up a proportion using the given information.
Let's assume x represents Ben's height. We can set up the proportion as follows:
(Height of the building) / (Length of the building's shadow) = (Ben's height) / (Ben's shadow length)
Using the given values, we can plug them into the equation:
65 feet / 175 feet = x / 14 feet
To solve for x, we can cross-multiply:
65 feet * 14 feet = 175 feet * x
910 feet = 175 feet * x
To isolate x, we need to divide both sides of the equation by 175 feet:
910 feet / 175 feet = x
After performing the division, we find that:
x = 5.2 feet
Therefore, Ben is approximately 5.2 feet tall.