Question

What is the best approximation of the length of segment QS? (Note: cos 80° = 0.17)

Answer 1

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

$Cos (A) = \frac{adjacent}{hypotenuse}$

$Cos (S) = \frac{RS}{QS}$

Plug in the angle and RS

$Cos (80) = \frac{2}{QS}$

Given cos(80) = 0.17

$0.17= \frac{2}{QS}$

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