The angle of elevation from the top of a small building to the top of a nearby taller building is 46°40', while the angle of depression to the bottom is 14°10'. If the smaller building is 28 meters high, find the height of the taller building.
The angle of elevation from the top of a small building to the top of a nearby taller building is 46°40', while the angle of depression to the bottom is 14°10'. If the smaller building is 28 meters high, find the height of the taller building.
Dear somanyquestions,
Please refer to the attached drawing.
$\displaystyle y=\frac{28}{tan14^{o}10'}$
$\displaystyle y=110.93$
$\displaystyle tan46^{o}40'=\frac{x}{y}=\frac{x}{110.93}$
Therefore, x=117.57
Height of the tall building=x+28=145.57m
Hope this will help you.