Question

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?

Answer 1

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.

$\dfrac{Statue}{Tourist}=\dfrac{4.5}{1.25}$

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.

$\dfrac{Statue}{Tourist}=\dfrac{6.0}{x}$

Ratio of height of statue and tourist are proportional.

$\dfrac{4.5}{1.25}=\dfrac{6.0}{x}$

$3.6=\dfrac{6.0}{x}$

$3.6x=6.0$

$x=\dfrac{6.0}{3.6}$

$x\approx 1.67$

Therefore, the of the tourist is 1.67 meters.