Stonehenge II in Hunt, Texas, is a scale model of the ancient construction in Wiltshire, England. The scale of the model
to the original is 3 : 5. The Altar Stone of the original construction is 4.9 meters tall. Write and solve a proportion to find
the height of the model of the Altar Stone. Round your answer to the nearest hundredth.
Let's set up a proportion using the given information:
x = height of the model of the Altar Stone
4.9 = height of the original Altar Stone
Using the scale of 3 : 5, we can set up the proportion:
3/5 = x/4.9
To solve for x, we can cross-multiply:
5x = 3 * 4.9
5x = 14.7
Divide both sides by 5 to isolate x:
x = 14.7 / 5
x = 2.94
Therefore, the height of the model of the Altar Stone is approximately 2.94 meters.
To find the height of the model of the Altar Stone, we can set up a proportion using the given scale.
Let's denote the height of the model of the Altar Stone as "x" meters.
The proportion we can set up is:
3/5 = x/4.9
To solve for x, we can cross-multiply:
3 * 4.9 = 5 * x
14.7 = 5x
To isolate x, we divide both sides of the equation by 5:
14.7/5 = x
x = 2.94
Therefore, the height of the model of the Altar Stone is approximately 2.94 meters.
To find the height of the model of the Altar Stone, we can set up a proportion using the given scale of 3 : 5.
Let's represent the height of the model of the Altar Stone as "x".
The proportion will be:
3 / 5 = x / 4.9
To solve this proportion, we can cross-multiply:
5 * x = 3 * 4.9
Simplifying the equation:
5x = 14.7
Next, divide both sides of the equation by 5 to solve for "x":
x = 14.7 / 5
x ≈ 2.94
Rounding to the nearest hundredth, the height of the model of the Altar Stone is approximately 2.94 meters.