Answer:
(a)[tex]55^o[/tex]
(b)[tex]350.1ft[/tex]
Step-by-step explanation:
The sum of the angles inside a triangle must be 180°, but from the right angle we already have 90°, so the sum of the two acute angles is 90°, then:
[tex]90^o-35^o=55^o[/tex]
Let [tex]s[/tex] be the length of the shadow and [tex]h[/tex] the height of the three, so tan(35) is
[tex]tan(35^o)=\frac{h}{s}[/tex]
Solving that last equation for h:
[tex]h=s*tan(35)=500(0.7002)=350.1ft[/tex]
