A surveyor is calculating the width of a canyon. He has taken the measurements shown below. What is the width of the canyon? Type a numerical answer in the box below.

480 ft

Step-by-step explanation:

To find the width (x), apply the similarity theorem of two similar triangles, which says that the corresponding lengths of two similar triangles are proportional.

Thus:

x/72 = 80/12

Cross multiply

12 × x = 80 × 72

12x = 5,760

12x/12 = 5,760/12

x = 480

Width of the canyon = x = 480 ft

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step-by-step explanation:

answer: 2 answers

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