Question

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

(Round your answer to the nearest tenth.)

Answer 1

Length of the segment QS = 11.76 cm

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) = (adjacent)/(hypotenuse)`

`Cos (S) = (RS)/(QS)`

Plug in the angle and RS

`Cos (80) = (2)/(QS)`

Given cos(80) = 0.17

`0.17= (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