Answer:
Height of the building = 115.4 ft.
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°) =
![(CD)/(CE)](https://img.qammunity.org/2022/formulas/mathematics/high-school/txh0yrze7x3qrwseu3ssbrhb5ytvzc98w8.png)
CD = CE ×
![(1)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/f0qcv9cek84ihznc3s7uf39dlk9xfru67q.png)
CD =
![(29)/(2)](https://img.qammunity.org/2022/formulas/mathematics/college/fk2hs9gjra6mz5o8szk2784gz1hfqm6167.png)
CD = 14.5 ft
Total Height = 24 + 46.4 + 14.5 + 30.5
= 115.4 ft