See the attached figure to better understand the problem
we know that
in the triangle ABC
tan 15=AC/BC--------> AC=BC*tan 15
BC=51 m
AC=51*tan 15------> AC=13.67 m
t<span>he height of the shorter building=207-AC----> 207-13.67----> 193.33 m
</span>the height of the shorter building=193 m
<span>
the answer Part a) is
</span>the height of the shorter building is 193 m
<span>
Part b) </span><span>how does the angle of depression from the top of the taller building relate to the angle of elevation from the top of the shorter building
</span>
we know that
the angle of depression is equals to the angle of elevation
so
the answers are
<span>A:They are congruent
</span><span>D:They are alternate interior angles</span>
we know that
in the triangle ABC
tan 15=AC/BC--------> AC=BC*tan 15
BC=51 m
AC=51*tan 15------> AC=13.67 m
t<span>he height of the shorter building=207-AC----> 207-13.67----> 193.33 m
</span>the height of the shorter building=193 m
<span>
the answer Part a) is
</span>the height of the shorter building is 193 m
<span>
Part b) </span><span>how does the angle of depression from the top of the taller building relate to the angle of elevation from the top of the shorter building
</span>
we know that
the angle of depression is equals to the angle of elevation
so
the answers are
<span>A:They are congruent
</span><span>D:They are alternate interior angles</span>
