Question

the tree in your backyard is 6 meters tall. you want to draw it to the scale of 1:50. what will be the height of the tree in centimeters in your drawing? use the keypad to enter your answer in the box. the height of the tree in the drawing is centimeters.

Explanation:

Step1: Convert meters to centimeters

Since \(1\) meter \( = 100\) centimeters, then \(6\) meters \(=6\times100 = 600\) centimeters.

Step2: Use the scale ratio

The scale is \(1:50\), which means the drawing height \(h\) (in centimeters) and the actual height \(H\) (in centimeters) satisfy the proportion \(\frac{h}{H}=\frac{1}{50}\). Substitute \(H = 600\) into the proportion: \(h=\frac{600}{50}\).

Step3: Calculate the value of \(h\)

\(h=\frac{600}{50}=12\).

Answer:

\(12\)