Answer:
Height of the building = 115.4 ft.
Step-by-step explanation:
Height of building = AB + 46.4 + CD + 30.5
By applying Pythagoras theorem in ΔABP,
(26)² = (10)²+ (AB)²
676 - 100 = AB²
AB² = 576
AB = 24 ft
By applying sine rule in ΔCDE,
cos(60°) = [tex]\frac{CD}{CE}[/tex]
CD = CE × [tex]\frac{1}{2}[/tex]
CD = [tex]\frac{29}{2}[/tex]
CD = 14.5 ft
Total Height = 24 + 46.4 + 14.5 + 30.5
= 115.4 ft
