On a sunny day, the length of the shadow on the ground from the house is 50 m, and for a vertically placed stick 25 cm
| January 4, 2021 | education
On a sunny day, the length of the shadow on the ground from the house is 50 m, and for a vertically placed stick 25 cm high, the length of the shadow is 90 cm. What is the height of the house?
This problem can be solved by proportion.
The ratio of the length of the shadow to the height of the object.
90cm = 0.9m
25cm = 0.25m
50m / hm = 0.9m / 0.25m
The product of the extreme terms is equal to the product of the means:
50 * 0.25 = 0.9x
12.5 = 0.9x
x = 12.5 / 0.9
x≈14m
Answer: the height of the house is 14 m.
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