The shadow of a tower standing on the level ground is found to be 45 root 3 metre longer when the sun altitude is 30 degree then when it was 60 degree find the height of the tower
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Answer:
height of the tower = 67.5 m
Step-by-step explanation:
The shadow of a tower standing on the level ground is found to be 45 root 3 metre longer when the sun altitude is 30 degree then when it was 60 degree find the height of the tower
Let say Height of Tower = H
Tan 30 = H/Shadow length 1
=> Shadow Length = H√3
Tan 60 = H/Shadow length 2
=> Shadow length 2 = H/√3
H√3 - H/√3 = 45√3
Multiplying by √3
3H - H = 45*3
=> 2H = 135
=> H = 67.5
the height of the tower = 67.5 m
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