Question

What is the best approximation of the length of segment QR?

Answer 1

we are given

S=80

RS=2

we can use tangent formula

$tan(S)=\frac{QR}{RS}$

$tan(80)=\frac{QR}{2}$

now, we can find QR

$QR=2*tan(80)$

we will get

$QR=11.34cm$...........Answer

Answer 2

From the given diagram we have,

$tan 80=\frac{QR}{Rs}$

$5.67=\frac{QR}{2}$

$5.67*2=\frac{QR}{2} *2$ Multiplying 2 to each sides

11.34= QR

So, the length of QR is 11.34 cm