For a project in her Geometry class, Nakeisha uses a mirror on the ground to measure the height of her school building. She walk
s a distance of 8.65 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1.65 meters to the other side of the mirror, until she can see the top of the school clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.25 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
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Answer:
15 feet.
Step-by-step explanation:
We have been given that Nicole measured the shadow of the snow sculptures highest point to be 10 feet long. At the same time of day Nicole's shadow was 40 inches long. Nicole is five feet long.
We will use proportions to solve our given problem as proportions states that two fractions are equal.
Let us convert given measurements from feet to inches.
1 feet = 12 inches.
10 feet = 10*12 inches = 120 inches.
5 feet =5*12 = 60 inches
Let us multiply both sides of our equation by 120.
So the height of the snow sculpture is 180 inches. Let us convert our final answer to feet by dividing 180 by 12.
Therefore, the height of the snow sculpture is 15 feet.