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I have no idea how to go about this question on my geometry homework! Can someone help me?
You want to measure the height of the iconic old water tower in Gary, Indiana. You have a walking stick, and a 200ft tape measure available to you if you require them. You cannot climb the tower. DEVISE a method based on your knowledge of similar triangles to calculate the height of the tower. PROVIDE a sketch of your plan. STATE any assumptions you make and JUSTIFY them. PROVIDE a mathematical equation or process that would allow you to calculate the height of the tower. Give an answer for the height of the tower.
The two triangles shown are similar triangles.
Numerically, the ratio computed by dividing the length of any side of tower triangle by the length of the corresponding side of the walking stick (similar) triangle will be the same value.
Therefore, when the length of the tower shadow is divided by the length of the walking stick shadow, that ratio will be the exactly same as the tower height divided by the walking stick height.
(length of tower shadow)/(length of walking stick shadow) = (tower's height)/(walking stick height)
tower's height = {(length of tower shadow)/(length of walking stick shadow)}*(walking stick height)
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