The ratio of height of an object in a photograph to the actal height is 1:100. The height of a statue in the photograph is 5cm. How tall is the statue?
Given is that the ratio of height is 1:100. This means that for every unit of height in the photograph, the real object is 100 times as large. So, e.g. if we have an object that measures 20 cm on the photograph, this means the object is 2000 cm in real life.
So if you have a statue that is 5 cm in height on the photograph, this means the real object is 500 cm (= 5 m) in real life.
5000
To find the actual height of the statue, we can use the given ratio and the height of the statue in the photograph.
The ratio states that the height of the object in the photograph is 1 part and the actual height is 100 parts. So, we can set up the equation:
(Height in photograph) / (Actual height) = 1 / 100
Let's substitute the given values into the equation:
(5 cm) / (Actual height) = 1 / 100
To solve for the actual height, we'll isolate the variable "Actual height":
(5 cm) = (1 / 100) * (Actual height)
Now we can solve for Actual height by multiplying both sides of the equation by 100:
(5 cm) * 100 = Actual height
500 cm = Actual height
Therefore, the actual height of the statue is 500 cm.