h23h33hh=603=2⋅=312=4040 meters.leasured at the same time to find each height.2. mailbox shadow: 4 feet lamppost shadow: 26 feet mailbox height: 3.5 feet How tall is the lamppost?□□a 6 foot shadow. A5. How long is the sh asts a shadow. How 6821 meters tall? A
Q. h23h33hh=603=2⋅=312=4040 meters.leasured at the same time to find each height.2. mailbox shadow: 4 feet lamppost shadow: 26 feet mailbox height: 3.5 feet How tall is the lamppost?□□a 6 foot shadow. A5. How long is the sh asts a shadow. How 6821 meters tall? A
Set Up Proportion: First, set up a proportion using the similar triangles created by the shadows and the actual heights. The ratio of the mailbox's height to its shadow length should be equal to the ratio of the lamppost's height to its shadow length.
Write Proportion: Write the proportion as (mailbox height)/(mailbox shadow)=(lamppost height)/(lamppost shadow). Plug in the known values: (3.5feet)/(4feet)=(lamppost height)/(26feet).
Cross-Multiply: Cross-multiply to solve for the lamppost height: 3.5 feet×26 feet=4 feet×(lamppost height).
Calculate: Do the multiplication: 91 feet2=4 feet×(lamppost height).
Divide and Solve: Divide both sides by 4feet to solve for the lamppost height: (91feet2)/(4feet)=lamppost height.
Final Lamppost Height: Calculate the lamppost height: 22.75 feet = lamppost height.
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