Question

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

(Note: tan 80° = 5.67)

9.12cm

10.36cm

11.34cm

12.61cm

Answer 1

11.34cm

Explanation:

The mnemonic SOH CAH TOA tells you the relationship between the side opposite an angle and the side adjacent:

... Tan = Opposite/Adjacent

That is, for your triangle, ...

... tan(80°) = QR/(2 cm)

Multiplying this equation by 2 cm gives ...

... tan(80°)·(2 cm) = QR = 5.67·2 cm = 11.34 cm