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Right-angled Triangles, SM-Bank 025

Find the height of the power pole below correct to one decimal place.  (2 marks)

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\(4.8\ \text{m}\)

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\(\text{Let }a=x ,\ b=3.6\ \text{and }c=6\)

\(\text{Pythagoras’ Theorem states:  }a^2+b^2=c^2\)

\(x^2+3.6^2\) \(=6^2\)
\(x^2+12.96\) \(=36\)
\(x^2\) \(=36-12.96\)
\(x^2\) \(=23.04\)
\(\therefore x\) \(=\sqrt{23.04}\)
  \(=4.8\)

\(\therefore\ \text{The height of the power pole is }4.8\ \text{m}\)