Find the height of the flagpole if it’s shadow is 30 feet when an 8 feet tall tree Casts a 10 foot shadow
24 ft. tall, hope this helps
just giving the answer does NOT help
Just use a ratio:
h/30 = 8/10
h = 30(8/10) = ...
To find the height of the flagpole, we can set up a proportion using the concept of similar triangles.
Let's assume the height of the flagpole is 'h'. We know that the height of the tree is 8 feet and its shadow is 10 feet.
Using the concept of similar triangles, we can set up the following proportion:
(tree height) / (tree shadow) = (flagpole height) / (flagpole shadow)
Substituting the given values, we have:
8 feet / 10 feet = h / 30 feet
To find the value of 'h', we can cross-multiply and solve for 'h':
(8 feet)(30 feet) = (10 feet)(h)
240 feet = 10 feet * h
Now, divide both sides of the equation by 10 feet:
240 feet / 10 feet = h
24 feet = h
Therefore, the height of the flagpole is 24 feet.