Question

In the given figure ABCD is a rectangular with AD = 8 cm and CD = 12 cm. Line segment CE is drawn, making an angle of 60° with AB, intersecting A. at E. Find the length of CE and BE respectively.​

Answer 1

Step-by-step explanation:

Given ⇒ AD=12 cm

DC=20 cm

In △AED,

tan30

∘

3

1

AE

=

AD

AE

=

12

AE

=

3

12

=4

3

cm

And,

sin30

∘

2

1

ED

=

ED

AE

=

ED

4

3

=8

3

cm

Hence, DE and AE is equal to 8

3

cm and 4

3

cm respectively.