Question

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1. - / 6.66 points

the given triangles are similar triangles. use this fact to solve the exercise.
image: flagpole with shadow labeled 32 ft, tree with height 7 ft and shadow 8 ft
find the height of the flagpole (in ft).
text box for answer ft
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Explanation:

Step1: Set up proportion for similar triangles

Let \( h \) be the height of the flagpole. Since the triangles are similar, the ratios of corresponding sides are equal. So, \(\frac{h}{32}=\frac{7}{8}\).

Step2: Solve for \( h \)

Cross - multiply: \( 8h = 32\times7 \). Then, \( 8h=224 \). Divide both sides by 8: \( h=\frac{224}{8}=28 \).

Answer:

28