A surveyor is calculating the width of a canyon. He has taken the measurements shown below. What is the width of the canyon? Typ e a numerical answer in the box below.
1 answer:
Answer:
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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