Question

The figure shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:

Triangle ABC has length of BC equal to 12 inches. A line segment DC joins the point D on AB with point C. Measure of angle ABC is 90 degrees, ACD is 15 degrees and measure of angle DCB is 30 degrees.

What is the length of the wood that is needed to replace AD?

6.2 inches

4.2 inches

6.9 inches

5.1 inches

Answer 1

use tan 30= DB/12

Answer 2

than use tan 45=AB/12
subtract AD from AB

Answer 3

I got 6.9..is that correct? I was thinking either 6.9 or 6.2

Answer 4

i got d.

Answer 5

Oh I probably messed up..so sorry,not great in geometry.

Answer 6

thanks for your help

Answer 7

this,,,ab=tan45*12
then db=tan30*12
then subtract ad to ab

Answer 8

6.9 is the line db