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Answer:
the actual distance is 1800 ft.
Step-by-step explanation:
Proportion states that the two fractions or ratios are equal.
Let x be the actual distance.
As per the statement:
Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft.
⇒1 inch = 150 ft.
if the distance between his classroom in the cafeteria measures 12 in on the map.
by definition of proportions we have;
By cross multiply we have;
ft
Therefore, the actual distance is 1800 ft.
We have the triangle 30° - 60° - 90°.
The lenght of the sides are in proportion: