Answer:
Height of the silo = 18 feet.
Step-by-step explanation:
From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.
Farmer is standing at 8 ft distance from the silo.
From triangle AEC,
tan(∠CAE) = CE/AE=5/8
m(∠CAE) = tan-1 (5/8)
= 32°
m∠BAE = 90° - 32° = 58°
From the triangle ABE,
tan58° = BE/AE
BE = 8tan58°
BE = 12.8 ft
Total height of the silo = BE + EC
= 12.8 + 5
= 17.8
≈ 18 ft
Therefore, the total height of the silo is 18 ft.
