Question

What is the length of QR if ∅=63° and RS = 44? round to the nearest hundredth

Answer 1

Given:

Angle R=63 degree.

Side RS=44

The objective is to find the length of the side QR.

Since, the given triangle is a right angled triangle, consider QR as hypotenuse and RS as adjacent side with respect to angle R.

Then, the hypotenuse can be calculated using cos formula.

`\begin{gathered} \cos \theta=(adjacent)/(hypotenuse) \\ \cos 63^0=(44)/(QR) \\ 0.45=(44)/(QR) \\ QR=(44)/(0.45) \\ QR=97.78 \end{gathered}`

Hence, the length of the side QR is 97.78.