Simplify the expression, plz give step-by-step explanation. No files plz.
1 answer:
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9514 1404 393
Answer:
480 ft
Step-by-step explanation:
The geometry involves two similar triangles. The ruler at arms length forms a triangle that has the opposite side 3 inches high and 24 inches (2 ft) away. That is, the distance from the eye to the ruler is 8 times the height of the ruler.
The triangle involving the lighthouse is similar. That is, the angles in it are the same, so the sides are proportional to those in the smaller (ruler) triangle. The distance to the lighthouse will be 8 times the height of the lighthouse, just as the distance to the ruler is 8 times the height of the ruler.
8 × 60 ft = 480 ft
The lighthouse is 480 feet away.
