Question

owen has a scale model of the gateway arch located in st. louis. the model is created at a scale of 1 cm : 16 m. the height of the gateway arch is 92 meters. what is the height of owens model? if needed, you may round your answer to one decimal place.

Explanation:

Step1: Define scale ratio

Scale: $1\ \text{cm} = 16\ \text{m}$, so model height = $\frac{\text{actual height}}{16}$

Step2: Substitute actual height

Actual height = $92\ \text{m}$, so model height = $\frac{92}{16}$

Step3: Calculate and round

$\frac{92}{16}=5.75$, round to 1 decimal place: $5.8$

Answer:

$5.8$ cm