Question

1. in the drawing below, the dashed line segment represents the distance across a pond. what is the actual distance, in yards, across the pond? record your answer and fill in the bubbles on your answer document. be sure to use the correct place value.

Explanation:

Step1: Use Pythagorean theorem for scale - drawing lengths

First, find the length of the dashed - line in the drawing using the Pythagorean theorem. In the drawing, the two legs of the right - triangle are $a = 6$ inches and $b = 8$ inches. The length of the hypotenuse $d$ in the drawing is $d=\sqrt{6^{2}+8^{2}}=\sqrt{36 + 64}=\sqrt{100}=10$ inches.

Step2: Convert drawing length to actual length

The scale is 1 inch : 2 yards. So if the length in the drawing is $d = 10$ inches, then the actual length $D$ is $D=10\times2$ yards.

Answer:

20