1 Answer

Hashem · Answer 1 · 2024-09-15T22:59:16+0000

Answer:

$\mathrm{Flagpole\;Height = 17 \;feet}$

Explanation:

Here we have two similar right triangles

One right triangle has base of 8 ft and Jeremy's height of 68" as the height

The other right triangle has the base (8 + 16 = 24) and the height is the height of the flagpole. This is the large triangle

Since the triangles are similar,

The ratios of the sides must be the same

$\mathrm{(Jeremy's \;Height)/(Flagpole \; Height)} = (8)/(24)= (1)/(3)\\\\\\68$

Therefore

$\mathrm{(17/3)/(Flagpole\;height) = (1)/(3)}\\\\$

Cross -multiplying we get

$\mathrm{(17)/(3) * 3 = Flagpole\; Height}\\\\\mathrm{Flagpole\;Height = 17 \;feet}$

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