Ta có: \(\widehat{DBC}+\widehat{DBA}=180^0\)(hai góc kề bù)
=>\(\widehat{DBA}=180^0-38^0=142^0\)
Xét ΔDBA có \(\widehat{DBA}+\widehat{DAB}+\widehat{ADB}=180^0\)
=>\(\widehat{ADB}=180^0-34^0-142^0=4^0\)
Xét ΔABD có \(\dfrac{AD}{sinABD}=\dfrac{AB}{sinADB}\)
=>\(\dfrac{AD}{sin142}=\dfrac{500}{sin4}\)
=>\(AD\simeq4412\left(m\right)\)
Xét ΔADC vuông tại C có \(sinA=\dfrac{DC}{DA}\)
=>\(DC=AD\cdot sinA\simeq2467\left(mét\right)\)