a flagstaff, 5m tall stands in a vertical pole . the angles of elevation of the top and bottom of the flagstaff from a poit on the ground is said to be 60⁰ and 30⁰ respectively. find the height of the pole and the horizontal distance between the observer and the pole
Answers
Given : a flagstaff, 5m tall stands in a vertical pole . the angles of elevation of the top and bottom of the flagstaff from a poit on the ground is said to be 60⁰ and 30⁰ respectively.
To Find : height of the pole and the horizontal distance between the observer and the pole
Solution:
Height of Pole = P m
Then Flagstaff top point height = P m
Flagstaff bottom point height = P-5 m
Let say Observer Horizontal Distance = D m
Tan 60 = P/D
=> √3 = P/D
=> D√3 = P
Tan 30 = (P - 5)/D
=> 1/√3 = (P - 5)
=> D/√3 = P - 5
=> D√3 = 3(P - 5)
P = 3(P - 5)
=> 2P = 15
=> P = 7.5
height of the pole = 7.5 m
D√3 = P
=> D√3 = 7.5
=> D = 7.5/ √3
=> D = 2.5√3 m
horizontal distance between the observer and the pole = 4.33 m
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Answer:
ANSWER IS 2.5 METER MARK AS BRAINLEST