A flagpole casts a shadow 27 feet long. A person standing nearby nearly casts a shadow 8 feet long. If the person is 6 feet tall, how tall is the flagpole
yeah
To find the height of the flagpole, we can set up a proportion using the similar triangles formed by the flagpole and its shadow, and the person and their shadow.
Let's let 'x' represent the height of the flagpole.
The proportion can be set up as:
(flagpole height) / (flagpole shadow length) = (person height) / (person shadow length)
Plugging in the given values:
x / 27 = 6 / 8
To solve for 'x', we can cross multiply:
8x = 27 * 6
Simplifying:
8x = 162
Dividing both sides by 8:
x = 162 / 8
x ≈ 20.25
Therefore, the height of the flagpole is approximately 20.25 feet.
27/8=height/6
solve for height, right?