Question

Find x and y in the given figure.

Answer 1

x and y from the figure:

Left triangle ABC (right at B), with ∠C = 30° and hypotenuse AC = 12.

sin 30° = `(AB)/(AC) = AB`

= `12 ⋅ 1/2`

= 6

x = 6 cm

Right triangle CDE (right at D), with ∠C = 60° and ED = 9

tan 60° = `(ED)/(CD) = 9/y` 

y = `9/sqrt3`

y = `(9sqrt3)/3`

y = `3sqrt3` cm