Answer :
To find the height of the mountain in meters, we divide the given converting measurements by 100 to convert from centimeters to meters.
Using the scale of 1:3700, we set up a proportion to find the actual height of the mountain. The height of the mountain rounded to the nearest tenth is 3422.2 meters. To find the height of the mountain in meters, we need to convert the given measurement from centimeters to meters. Since 1 meter is equal to 100 centimeters, we can convert by dividing the centimeter measurement by 100.
In this case, the height of the mountain in centimeters is 92 3/5 cm, which is equivalent to 92.6 cm. To convert this to meters, we divide by 100, giving us a height of 0.926 meters. Next, we need to find the actual height of the mountain using the given scale of 1:3700. This means that for every 1 unit on the puzzle, the actual height of the mountain is 3700 units. Since we know the height of the mountain in meters is 0.926, we can set up a proportion:
1/3700 = 0.926/x
Cross multiplying, we get:
1x = 3700 * 0.926
x = 3422.2
Therefore, the height of the mountain rounded to the nearest tenth is 3422.2 meters.
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