A 6-foot-tall man is standing in front of a school and notices his shadow measures 10 feet. At the same time, he notices a nearby flagpole casts a shadow that measures 85 feet.
How tall is the flagpole?
100 feet
127 feet
14.17 feet
51 feet
I got 51 thanks for the help!!!
since the height : shadow ratio is the same,
h/85 = 6/10
now just solve for h.
To determine the height of the flagpole, we can use the concept of similar triangles. The man's height and his shadow form one triangle, while the flagpole's height and its shadow form another triangle.
Let's assign variables to the known measurements:
- Height of the man: 6 feet
- Length of the man's shadow: 10 feet
- Length of the flagpole's shadow: 85 feet
We can set up a proportion between the two triangles. The height of the man's shadow should be proportional to the height of the flagpole itself.
(height of the man) / (length of man's shadow) = (height of the flagpole) / (length of flagpole's shadow)
Substituting the known values, we get:
6 / 10 = (height of the flagpole) / 85
Now we can solve for the height of the flagpole using cross-multiplication:
6 * 85 = 10 * (height of the flagpole)
510 = 10 * (height of the flagpole)
510 / 10 = height of the flagpole
The height of the flagpole is 51 feet.
Therefore, the correct answer is 51 feet.