A 6 foot tall fence post a 1 foot shadow. A nearby clock tower cast a 35 foot shadow. what is the height of the tower?
h/35 = 6/1
To find the height of the clock tower, we can use a proportion where the length of the shadow is directly proportional to the height of the object casting the shadow.
Let's represent the height of the fence post as x and the height of the clock tower as h.
According to the information given, the fence post is 6 feet tall with a shadow of 1 foot. We can set up the following proportion:
(Height of Fence Post)/(Length of Fence Post Shadow) = (Height of Clock Tower)/(Length of Clock Tower Shadow)
Thus, we have:
6/1 = h/35
To solve for h (the height of the clock tower), we can cross-multiply and solve for h:
6 * 35 = 1 * h
210 = h
Therefore, the height of the clock tower is 210 feet.