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)(, start text, i, n, end text, )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)(, start text, m, end text, )tall, what is the approximate actual height of the tourist in meters?

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erinna erinna · Answer 1 · 2020-01-10T05:59:05+01:00

Answer:

The of the tourist is 1.67 meters.

Step-by-step explanation:

Height of statue in photograph = 4.5 inches.

Height of tourist in photograph = 1.25 inches.

[tex]\dfrac{Statue}{Tourist}=\dfrac{4.5}{1.25}[/tex]

Actual height of statue = 6.0 meters.

We need to find the the actual height of the tourist in meters.

Let x be the actual height of the tourist in meters.

[tex]\dfrac{Statue}{Tourist}=\dfrac{6.0}{x}[/tex]

Ratio of height of statue and tourist are proportional.

[tex]\dfrac{4.5}{1.25}=\dfrac{6.0}{x}[/tex]

[tex]3.6=\dfrac{6.0}{x}[/tex]

[tex]3.6x=6.0[/tex]

[tex]x=\dfrac{6.0}{3.6}[/tex]

[tex]x\approx 1.67[/tex]

Therefore, the of the tourist is 1.67 meters.

guacamayo1223 guacamayo1223 · Answer 2 · 2021-05-28T15:56:42+02:00

guacamayo1223 guacamayo1223

Answer:

C. 1.67 meters

Step-by-step explanation:

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