a 26 foot tree cast a shadow of 14 feet, a nearby tower cast a shadow of 21 feet, how tall is the tower?
You can solve this with a proportion.
26/14 = x/21
Cross multiply and solve for x.
T/21 = 16/14
cross-multiply and it becomes easy to solve
To find the height of the tower, you can use a proportion based on the lengths of the shadows.
Let's assume the height of the tower is represented by "x."
The proportion can be set up as follows:
26 feet (height of the tree) : 14 feet (length of the tree's shadow) = x (height of the tower) : 21 feet (length of the tower's shadow)
To find the value of "x," we cross-multiply and solve for it.
26 * 21 = 14 * x
546 = 14x
To isolate "x," divide both sides of the equation by 14:
546/14 = x
x ≈ 39
Therefore, the height of the tower is approximately 39 feet.