Respuesta :

cylite
d. 14 cm

tan(70)=QR/5

cross multiply: QR=5 tan(70)

Here we are given

angle S = 70°

RS= 5cm

Now we know that ,

[tex]tanx=\frac{Perpendicular}{Base}[/tex]

Here angle x is 70 degrees and Base RS is 5 cm.

Also Perpendicular is QR, which we have to solve for,

Plugging these values in the formula above,

[tex]tan(70)=\frac{QR}{5}[/tex]

[tex]2.74747742=\frac{QR}{5}[/tex]

QR=13.735cm

QR=14cm(approximately)

Answer: QR= 14 cm (option D)