if a tree in a 1/2 inch scale drawing is 11 inches tall, how tall is the actual tree?
20ft
5ft
To determine the actual height of the tree, we need to use the scale ratio provided. In this case, the scale is 1/2 inch.
The scale ratio indicates that 1/2 inch on the drawing represents a certain length in real life. To find the actual height of the tree, we need to set up a proportion:
Drawing length / Actual length = Scale ratio
Let's use "D" to represent the drawing length and "A" to represent the actual length:
D / A = 1/2 inch scale
Given that the height of the tree in the drawing is 11 inches, we can substitute the values:
11 inches / A = 1/2 inch scale
Now, let's solve for A, which represents the actual height of the tree:
A = (11 inches) / (1/2 inch scale)
To divide by a fraction, we invert the second fraction and multiply:
A = (11 inches) * (2 inch scale / 1)
A = 22 inches.
Therefore, the actual height of the tree is 22 inches.
To find the height of the actual tree, we can use the concept of scale. In a 1/2 inch scale drawing, every half-inch on the drawing represents a certain length in the actual object it represents.
We know that in the drawing, the tree is 11 inches tall. So, in the scale drawing, 1/2 inch represents 11 inches of the actual tree height.
To find the height of the actual tree, we can set up a simple proportion:
1/2 inch (on the drawing) is to 11 inches (actual tree height) as X (unknown height of the actual tree) is to Y (unknown measurement on the drawing).
This proportion can be written as:
1/2 inch / 11 inches = X / Y
To find X (the height of the actual tree), we need to know the value of Y (the measurement on the drawing) that corresponds to X. If you have the measurement on the drawing that corresponds to the height of the actual tree, you can substitute it into the equation and solve for X.
For example, if Y (the measurement on the drawing) is 5 inches, we can substitute it into the equation:
1/2 inch / 11 inches = X / 5 inches
Now we can solve for X:
Cross-multiplying:
(1/2 inch) * (5 inches) = (11 inches) * X
2.5 inches = 11 inches * X
To isolate X, divide both sides of the equation by 11 inches:
X = 2.5 inches / 11 inches
X ≈ 0.227 inches
Therefore, if the measurement on the drawing corresponding to the height of the actual tree is 5 inches, then the height of the actual tree would be approximately 0.227 inches.