Question

what number can you multiply each distance in the scale drawing by to find the actual distance?
what is the actual length of the waterfall trail?
? km
waterfall
—— 6 cm ——
pavilion
—— 6 cm ——
picnic area
ranger tower
3 cm : 1.5 km

Explanation:

Step1: Find scale conversion factor

Given scale $3\ \text{cm}:1.5\ \text{km}$, calculate factor:
$\frac{1.5\ \text{km}}{3\ \text{cm}} = 0.5\ \text{km/cm}$

Step2: Calculate actual waterfall trail length

Multiply drawing length by factor:
$4\ \text{cm} \times 0.5\ \text{km/cm}$

Answer:

1. $0.5$
2. $2$ km