Answer:
Length of the segment QS = 11.76 cm
Step-by-step explanation:
We are given with right angle triangle QRS
Angle S is 80 degree and RS = 2 cm
We need to find out QS
RS is adjacent to angle S, so we use cos formula
[tex]Cos (A) = \frac{adjacent}{hypotenuse}[/tex]
[tex]Cos (S) = \frac{RS}{QS}[/tex]
Plug in the angle and RS
[tex]Cos (80) = \frac{2}{QS}[/tex]
Given cos(80) = 0.17
[tex]0.17= \frac{2}{QS}[/tex]
Multiply by QS on both sides
0.17 * QS = 2
Divide by 0.17 on both sides
QS= 11.76470588
Length of the segment QS = 11.76 cm
