Question

A 42 inch television is 40.6 inches wide. Using the diagram below, determine the height of the television. Round your solution to the nearest hundredth.

Answer 1

Determine the height of television by using the pythagoras theorem.

`\begin{gathered} (h)^2+(40.6)^2=(42)^2 \\ (h)^2=1764-1648.36 \\ h=\sqrt[]{115.64} \\ =10.753 \\ \approx10.75 \end{gathered}`

So height of the television is 10.75 inch.