Question

What is the length of QR rounded to nearest whole number?

A. 11 cm
B. 2 cm
C. 5 cm
D. 14 cm

Answer 1

d. 14 cm

tan(70)=QR/5

cross multiply: QR=5 tan(70)

Answer 2

Here we are given

angle S = 70°

RS= 5cm

Now we know that ,

`tanx=(Perpendicular)/(Base)`

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,

`tan(70)=(QR)/(5)`

`2.74747742=(QR)/(5)`

QR=13.735cm

QR=14cm(approximately)

Answer: QR= 14 cm (option D)