Answer to Question #199153 in Trigonometry for Hetain

Question

5. Determine the length of XY to the nearest tenth of a centimetre.

61°

17.4 cm

Y X

Z

a. 8.4 cm b. 15.2 cm c. 31.4 cm d. 19.9 cm

Answer 1

To get angle XZY=$90-61=29°$

Using the sine rule ;

$\frac {17.4} {Sin 90}=\frac {x} {Sin 29}$

$\frac {17.4} {1}=\frac {x} {0.4848}$

$x=(17.4×0.4848)=8.4cm$

XY=8.4cm

a) 8.4 cm Correct