Question

15.Find the missing side length to the near tenth.Х27A. 97B4.6С.5.36.7

Answer 1

There is a set of formulas called 'Trigonometric Identities' that comes in handy when solving this kind of problems, the one we will use to solve this exercise is:

`\cos (x)=(A)/(H)`

This expression is valid for any right triangle

From the figure notice that taking the angle 27° as the reference, the side of length 6 is the adjacent (A) and, of course, x is the Hypotenuse.

So, we have that:

`\begin{gathered} \cos (27degree)=(6)/(x) \\ \Rightarrow x=6\cos (27degree)=5.346 \end{gathered}`

And, to the near tenth

`x=5.3`