Question

Please answer me x and y ​

Answer 1

x = 5√3

y = 15

Explanation:

Look at the picture.

ΔABC, ΔDBA and ΔDAC are the triangles 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

Therefore

in ΔDAC:

DC : AD : AC = 1 : √3 : 2

If AC = 10, then DC = 10 : 2 = 5 and AD = x = 5√3

in ΔDBA:

AD : BD : AB = 1 : √3 : 2

If AD = 5√3, then AB = 2 · 5√3 = 10√3 and BD = y = 5√3 · √3 = 5 · 3 = 15

Answer 2

Answer: x=5√3(you've got it correct!)

y=15

In∆ADC,

Cos 60°=DC/10

DC=5

y=20-5

y=15