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{:[(2)/(h)=(3)/(60)],[3h=2*],[(3h)/(3)=(12)/(3)],[h=40]:}
40 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?

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a 6 foot shadow. A
5. How long is the sh asts a shadow. How 
68(1)/(2) meters tall? A

2h=3603h=23h3=123h=40 \begin{aligned} \frac{2}{h} & =\frac{3}{60} \\ 3 h & =2 \cdot \\ \frac{3 h}{3} & =\frac{12}{3} \\ h & =40 \end{aligned} \newline4040 meters.\newlineleasured at the same time to find each height.\newline22. mailbox shadow: 44 feet lamppost shadow: 2626 feet mailbox height: 33.55 feet How tall is the lamppost?\newline \square \newline \square \newline \qquad \newlinea 66 foot shadow. A\newline55. How long is the sh asts a shadow. How 6812 68 \frac{1}{2} meters tall? A

Full solution

Q. 2h=3603h=23h3=123h=40 \begin{aligned} \frac{2}{h} & =\frac{3}{60} \\ 3 h & =2 \cdot \\ \frac{3 h}{3} & =\frac{12}{3} \\ h & =40 \end{aligned} \newline4040 meters.\newlineleasured at the same time to find each height.\newline22. mailbox shadow: 44 feet lamppost shadow: 2626 feet mailbox height: 33.55 feet How tall is the lamppost?\newline \square \newline \square \newline \qquad \newlinea 66 foot shadow. A\newline55. How long is the sh asts a shadow. How 6812 68 \frac{1}{2} meters tall? A
  1. 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.
  2. Write Proportion: Write the proportion as (mailbox height)/(mailbox shadow)=(lamppost height)/(lamppost shadow)(\text{mailbox height})/(\text{mailbox shadow}) = (\text{lamppost height})/(\text{lamppost shadow}). Plug in the known values: (3.5feet)/(4feet)=(lamppost height)/(26feet)(3.5 \, \text{feet})/(4 \, \text{feet}) = (\text{lamppost height})/(26 \, \text{feet}).
  3. Cross-Multiply: Cross-multiply to solve for the lamppost height: 3.5 feet×26 feet=4 feet×(lamppost height)3.5 \text{ feet} \times 26 \text{ feet} = 4 \text{ feet} \times (\text{lamppost height}).
  4. Calculate: Do the multiplication: 91 feet2=4 feet×(lamppost height)91 \text{ feet}^2 = 4 \text{ feet} \times (\text{lamppost height}).
  5. Divide and Solve: Divide both sides by 4feet4\,\text{feet} to solve for the lamppost height: (91feet2)/(4feet)=lamppost height(91\,\text{feet}^2) / (4\,\text{feet}) = \text{lamppost height}.
  6. Final Lamppost Height: Calculate the lamppost height: 22.7522.75 feet = lamppost height.