A picture of a statue is drawn to scale 1:5 If the height of the statue in the picture is 5/6, what is the actual height of the statue?
5/6 * 5 = 25/6 = 4 1/6
thank you
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To find the actual height of the statue, we need to use the scale factor given and the height of the statue in the picture.
The scale factor of 1:5 means that every unit on the drawing represents 5 units in real life. In this case, let's assume the height of the statue in the picture is x.
So, if the height on the drawing is x, then in real life it would be 5x, since the scale factor is 1:5.
We are given that the height of the statue in the picture is 5/6 of x. So, we can set up an equation to solve for x:
5/6 * x = x/1
Multiplying both sides by 6 to remove the fraction:
5 * x = 6 * x/1
5 * x = 6 * x
Rearranging the equation:
x = 5/6 * x
Now, we can substitute the value of x in terms of 5/6 * x into the equation 5x:
x = 5/6 * x
5x = 5/6 * x * 5
5x = 25/6 * x
To find the actual height of the statue, we need to solve for x:
5x = 25/6 * x
Multiplying both sides by 6 to remove the fraction:
6 * 5x = 25/6 * x * 6
30x = 25x
Subtracting 25x from both sides:
30x - 25x = 25x - 25x
5x = 0
Since 5x = 0, we can conclude that x = 0. Therefore, the height of the statue in the picture is 0, and the actual height of the statue is 5 * 0 = 0.
Based on the given information, the actual height of the statue is 0 units.