Questions: Dave's scale drawing of a tree outside his house is shown below. If 2 centimeters on the scale drawing equal 6 feet on the real tree, what is the actual height of the tree? 78 cm

Dave's scale drawing of a tree outside his house is shown below. If 2 centimeters on the scale drawing equal 6 feet on the real tree, what is the actual height of the tree? 78 cm
Transcript text: Dave's scale drawing of a tree outside his house is shown below. If 2 centimeters on the scale drawing equal 6 feet on the real tree, what is the actual height of the tree? 78 cm
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Solution

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Solution Steps

Step 1: Understand the scale

The scale given is \( 2 \) centimeters on the drawing equals \( 6 \) feet in real life. This means that every \( 2 \) cm on the drawing corresponds to \( 6 \) feet of actual height.

Step 2: Determine the scaling factor

To find the scaling factor, divide the real-life measurement by the drawing measurement: \[ \text{Scaling factor} = \frac{6 \text{ feet}}{2 \text{ cm}} = 3 \text{ feet per cm}. \]

Step 3: Calculate the actual height of the tree

Multiply the height of the tree in the drawing by the scaling factor: \[ \text{Actual height} = 78 \text{ cm} \times 3 \text{ feet per cm} = 234 \text{ feet}. \]

Final Answer

\(\boxed{234 \text{ feet}}\)

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