Question

Please help will give thanks

Answer 1

The value of CD = 12.687

Explanation:

From the triangle ABC,

`AC^(2)= AB^(2)+ BC^(2)` ( by using Pythagoras theorem)

or,
`BC^(2)= AC^(2) - AB^(2)`

or,
`BC^(2)` = 144 - 36 = 108

BC =
`√(108)` = 6
`√(3)`

Now,

`(BC)/(CD)` = sin 55

or, CD = BC / sin 55

= 6
`√(3)` / sin 55

=12.687