I have 2 tree's the young tree is 5 meter's high and has a shadow of 2.0 meter's. the older tree has a shadow of 3.5 meter's How tall is the older tree.
Tree1/shadow1=tree2/shadow2
so by proportion:
tree2=(tree1/shadow1)*shadow2
=(5/2)*3.5
Can you take it from here?
Alice is 1.5m tall. She is standing 3m from the foot of a lamppost. The lamp is 4.5m from the ground. How long will Alice's shadow be?
To find the height of the older tree, we can use a proportionate relationship between the height and the shadow length of each tree.
Let's denote the height of the older tree as 'x'.
Using the proportion:
(Height of young tree)/(Shadow of young tree) = (Height of older tree)/(Shadow of older tree)
We can plug in the given values:
(5 meters)/(2.0 meters) = x/(3.5 meters)
To solve for 'x', we can cross multiply:
(5 meters) * (3.5 meters) = 2.0 meters * x
17.5 meters = 2.0 meters * x
Dividing both sides of the equation by 2.0 meters, we get:
x = 17.5 meters / 2.0 meters
x = 8.75 meters
Therefore, the older tree is approximately 8.75 meters tall.