Question

cauã is 19 meters away from a capybara that measures 120 centimeters in length. cauã’s thumb is 2.5 centimeters wide.
what is the maximum distance, in centimeters, that cauã could hold his thumb away from his eye to hide the capybara?
round to the nearest centimeter.
______ cm

Explanation:

Step1: Convert units to cm

19 meters = \( 19 \times 100 = 1900 \) centimeters.

Step2: Set up proportion

Let \( x \) be the distance from eye to thumb (in cm). The two triangles are similar, so \(\frac{x}{1900} = \frac{2.5}{120}\).

Step3: Solve for \( x \)

Cross - multiply: \( 120x = 1900\times2.5 \).
Calculate \( 1900\times2.5 = 4750 \).
Then \( x=\frac{4750}{120}\approx39.583\).
Round to nearest centimeter: \( x\approx40 \).

Answer:

40