Từ A hạ E vuông góc xuống BD
\(Xét\Delta ABE,có:\)
\(\dfrac{AE}{AB}=\sin\widehat{ABE}\Leftrightarrow AE=sin\widehat{ABE}.AB=sin48^o.24\approx14,11\left(m\right)\)
\(\widehat{EAB}+\widehat{EBA}=90^o\Leftrightarrow\widehat{EAB}=90^o-\widehat{EBA}\Leftrightarrow\widehat{EAB}=90^o-48^o=42^o\)
Có: \(\widehat{CAD}+\widehat{EAB}+\widehat{EAD}=\widehat{BAC}=180^o\Leftrightarrow\widehat{EAD}=180^o-\widehat{CAD}-\widehat{EAB}=180^o-63^o-48^o=69^o\)
\(Xét\Delta AED,có:\dfrac{AE}{AD}=\cos\widehat{EAD}\Leftrightarrow AD=\dfrac{AE}{\cos\widehat{EAD}}\Leftrightarrow AD=\dfrac{14,11}{\cos69^o}\approx39,37\left(m\right)\)
\(Xét\Delta ACD,có:\dfrac{CD}{AD}=sin\widehat{CAD}\Leftrightarrow CD=sin\widehat{CAD}.AD=sin63^o.39,37\approx35,08\left(m\right)\)
Vậy độ cao của tòa tháp là khoảng 35.08 mét
