A flagpole is placed at the top of a tower. The angles of elevation of the bottom and top of the flagpole from a point on the ground 10m away are 40° and 50° respectively. Find the length of the flagpole.
a
1.8m
b
3.5m
c
8.4m
d
11.9m
e
17.3m
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Eliana1234
3 years ago
A flag-pole is placed at the top of a tower. The angle of elevation of the bottom and top of the flag-pole from a point on the ground 10m away are 40° & 50° respectively. What is the length of the flag-pole?
x1 = height of tower : x2 = height of tower and flagpole : Ground = 10 m
x1 = tan(40) * 10 = 8.391 m (approx)
x2 = tan(50) * 10 = 11.9175 m (approx)
x2 - x1 = 11.9175 - 8.391 = 3.5265 m (approx)
Flagpole length = 3.5265 m
