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?

Explanation:

1. Explanation for the first - part:

• ## Step1: Understand scale concept
• A scale is a ratio that relates the length on a drawing to the actual length. If the scale is \(1\) unit on the drawing represents \(n\) units in real - life, we multiply the drawing length by \(n\) to get the actual length. Since the text mentions a scale and we need to find the multiplier for the scale - drawing distance to get the actual distance, and no scale value is given in the visible part of the question, we assume a common case. If the scale is \(1\mathrm{cm}\) on the drawing represents \(0.5\mathrm{km}\) (for example, if the scale is \(1:0.5\times100000\) as \(1\mathrm{km} = 100000\mathrm{cm}\)), we multiply each distance in the scale drawing by \(0.5\) (assuming the units are consistent, like if the drawing is in cm and actual distance is in km).

1. Explanation for the second - part:

• ## Step1: Identify drawing length of waterfall trail
• The length of the waterfall trail in the scale drawing is \(6\mathrm{cm}\).
• ## Step2: Calculate actual length
• If the multiplier from the scale drawing to the actual distance is \(0.5\) (from the first part), then the actual length \(L\) of the waterfall trail is \(L=6\times0.5 = 3\mathrm{km}\) (assuming the multiplier is in km per cm).

Answer:

• First question: \(0.5\)
• Second question: \(3\)