how tall is a flag pole when a person is standing 12 meters away and he is 1.5 meters tall and casts a shadow 3 meters long?
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dontknow
To determine the height of the flag pole, you can use similar triangles. Here's how you can calculate it:
Step 1: Understand the problem
- A person standing 12 meters away from the flag pole casts a shadow that is 3 meters long.
- The person's height is 1.5 meters.
Step 2: Set up a proportion
Let's define our variables:
- Let h represent the height of the flag pole.
- Let d represent the distance from the flag pole to the person.
- Let s represent the length of the person's shadow.
Using similar triangles, we can set up the proportion:
(person's height) / (person's shadow length) = (flag pole's height) / (flag pole's shadow length)
Step 3: Substitute the values into the proportion
Substituting the given values into the proportion, we have:
1.5 meters / 3 meters = h / 12 meters
Step 4: Solve for h
To solve for the height of the flag pole, we can cross-multiply and solve for h:
3 * h = 1.5 * 12
3h = 18
h = 6
Therefore, the height of the flag pole is 6 meters.