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Find the value of x. Round to thenearest tenth.1.47 2.1ft2xx = [? ]ft=Enter

Find the value of x. Round to thenearest tenth.1.47 2.1ft2xx = [? ]ft=Enter-example-1

1 Answer

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To find the value of x:

Consider the right angle triangle,

The opposite side is 1.4 ft

The adjacent side is x

The hypotenuse side is 2.1ft

Using Pythagoras theorem,


\begin{gathered} \text{Hyp}^2=\text{Opp}^2+\text{Adj}^2 \\ (2.1)^2=(1.4)^2+x^2 \\ 4.41=1.96+x^2 \\ x^2=4.41-1.96 \\ x^2=2.45 \\ x=1.5652 \\ x\approx1.57ft \end{gathered}

Hence, the value of x is 1.57 ft.

User Viera
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