a 6.5 ft tall car standing next to an adult elephant casts a 33.2 ft shadow. If the adult elephant casts a shadow that is 51.5 ft long then how tall is it?
Now it makes sense.
solve 6.5/33.2 = x/51.5
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To find the height of the adult elephant, we can set up a proportion using the information given.
Let's assume the height of the adult elephant is "x" feet.
According to the given information, the height of the car is 6.5 ft and it casts a shadow of 33.2 ft. Similarly, the adult elephant casts a shadow of 51.5 ft.
Using the proportion:
(car height)/(car shadow length) = (elephant height)/(elephant shadow length)
Substituting the given values:
6.5 ft / 33.2 ft = x ft / 51.5 ft
Cross-multiply:
6.5 ft * 51.5 ft = 33.2 ft * x ft
Divide both sides of the equation by 33.2 ft:
(6.5 ft * 51.5 ft) / 33.2 ft = x ft
Calculating:
x = (6.5 ft * 51.5 ft) / 33.2 ft
x ≈ 10.07 ft
Therefore, the height of the adult elephant is approximately 10.07 feet.
To find the height of the adult elephant, we can use a proportion relationship between the car and the elephant's shadow lengths.
Let's denote the height of the elephant as 'x'.
According to the problem, the height of the car is 6.5 ft, and it casts a shadow that is 33.2 ft long.
This can be written as a proportion:
(car height) / (car shadow length) = (elephant height) / (elephant shadow length)
Substituting the values given:
6.5 ft / 33.2 ft = x / 51.5 ft
To solve for 'x', we can cross-multiply and then divide:
(6.5 ft * 51.5 ft) / 33.2 ft = x
Calculating the value:
(334.75 ft²) / 33.2 ft ≈ 10.08 ft
Therefore, the adult elephant is approximately 10.08 ft tall.