A flagpole is 45 feet away from the school building. A 6-foot tall student stands 15 feet away from the building. What is the height of the flagpole?
6/30 proportion of his height to where he is standing
x/45 what we don't know and the distance of the flag pole
6/30=1/5 simplifying
x/45
1/5=x/45 setting them equal
x=9 if we sole we will get this
For further help/ understanding draw the picture and see how these proportions relate
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To find the height of the flagpole, we can use similar triangles.
Let's assume that the height of the flagpole is represented by 'x'.
We have two similar triangles: one formed by the flagpole, the distance from the flagpole to the student, and the student's height, and the other formed by the school building, the distance from the building to the student, and the student's height.
Using the properties of similar triangles, we can set up a proportion:
(student's height) / (distance from flagpole to student) = (height of the flagpole) / (distance from building to student)
Substituting the given values:
6 / 15 = x / 45
Now, we can solve for 'x' by cross-multiplying:
6 * 45 = 15 * x
270 = 15x
Dividing both sides of the equation by 15:
x = 270 / 15
x = 18
Therefore, the height of the flagpole is 18 feet.