similar shapes/cosine

[willow sonnet]

I Drew it out since the original question I wrote all over it but that’s all the information given

I was going to use like scale factors

And then I found dc to be 1.06cm but then when I used cosine rule it didn’t work

So idk what mistake I made

Unless dc is 13.616cm but based on the drawing that doesn’t make sense

[waxen torrent]

looking at the entire triangle (ABC), you can get the other 2 angles with sin rule, so DAC should be around 34.7

then you can either split triangle DAC into 2 right angle triangles and get x thru basic trig, or you can get it with a combination of sin and cos rule

x should come out to be around 36.78 or so

[willow sonnet]

Where did u get 15 from

Like the angle

Oh sine rule

Okay thanks

[willow sonnet]

Wait sorry I understood like how to get the 2 angles

But when you say for angle dac

I don’t get it idk why😭

[mossy aspen]

Wdym you dont get it

What are you not getting

[wet marsh]

Yo

[mossy aspen]

You got the gen a name

Apply sine rule to find angle PDC, then use sum of angles in a triangle to find angle DAC

Once you found angle DAC, use cosine to find length of CD in the original diagram