Question

Let's say you are in Monument Valley and decided to measure the height of a rock formation using the method

you learned from the workbook. The distance from your eyes to your finger is 23 inches. When you look
2
through your fingers at the rock, the gap between your fingers is of an inch. You know that you are about 6
miles from the rock. According to this information, approximately how tall is that rock formation? Find your
answer in miles (round your answer to the nearest hundredth), then convert it to feet (round it to the nearest
tenth).
miles
feet
Get Help:​

Answer 1

The answer is "0.163 miles and 860.64 feet"

Explanation:

Length between all the finger and the eyes = 23 inches

Length between fingers = 3/4 inches = 0.75 inches

Length between all the person as well as the rock = 5 miles

Length of the shape of rocks =?

The height of an object can be found, as we can see from the above form, using the distance between both the fingertips, its length between all the eyes and thus the fingertips, or the length between the person is calculated by the given formula:

`\frac{\text{Length between fingers}}{\text{Length between fingers and eyes}}= \frac{\text{Rock height}} {\text{Length between the person and the rock}}`

calculating the height of rock:

`\to \frac{0.75\ inches} {23} * 5 \\\\\to \frac{3.75\ inches} {23} \\\\\to 0.163 \ miles`

`\therefore 1 \ mile \ = 5280\ feet`

`\to 0.163 * 5280\\\\\to 860.64 \ feet`