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29 votes
A tourist takes a picture with a Moai statue on Easter Island. In the photograph, the Moai statue is approximately 4.54.54, point, 5 inches (\text{in})(in)left parenthesis, start text, i, n, end text, right parenthesis tall and the tourist is about 1.25\,\text{in}1.25in1, point, 25, start text, i, n, end text tall. If the actual height of the Moai statue is about 6.06.06, point, 0 meters (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis tall, what is the approximate actual height of the tourist in meters?

User Nick Law
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2 Answers

16 votes
16 votes

Answer: 1.07

Step-by-step explanation:

User Leoz
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2.9k points
19 votes
19 votes

Answer:

The approximate actual height of the tourist in meters is 0.1524 meters.

Step-by-step explanation:

We can use a ratio to determine the actual height of the tourist in meters. First, let's convert the height of the Moai statue from meters to inches. Since there are approximately 0.0254 meters in 1 inch, we can multiply the height of the Moai statue in meters by 0.0254 to find its height in inches: 0.0254 * 6.0 = 0.1524.

Next, we need to find the ratio of the height of the Moai statue to the height of the tourist in the photo. We can do this by dividing the height of the Moai statue in inches by the height of the tourist in the photo: 0.1524 / 1.25 = 0.1219.

Finally, we can use this ratio to determine the actual height of the tourist in meters. Since the ratio of the height of the Moai statue to the height of the tourist in the photo is 0.1219, we can multiply the height of the tourist in the photo by this ratio to find their actual height in meters: 1.25 * 0.1219 = 0.1524 meters, which is the same as the height of the Moai statue in inches. This means that the approximate actual height of the tourist in meters is 0.1524 meters.

User Megazord
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2.4k points