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If altitude of the sun is 60°, the height of a tower which casts a shadow of length 30m is
- a)10√3m
- b)15√3m
- c)20√3m
- d)30√3m
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If altitude of the sun is60°, the height of a tower which casts a ...
Given: Angle of elevation θ = 60°
Let the height of the tower AB be hmeters.
And the length of the shadow BC is 30 meters.
Therefore the hieght of the tower is 30√3 meters.
Let the height of the tower AB be hmeters.
And the length of the shadow BC is 30 meters.
Therefore the hieght of the tower is 30√3 meters.
Most Upvoted Answer
If altitude of the sun is60°, the height of a tower which casts a ...
Given data:
Altitude of the sun = 60°
Length of the shadow = 30m
Calculating the height of the tower:
Let the height of the tower be h meters.
Using trigonometry:
tan(60°) = h / 30
√3 = h / 30
h = 30√3
h = 30√3 meters
Therefore, the height of the tower is 30√3 meters. So, the correct answer is option 'D'.
Altitude of the sun = 60°
Length of the shadow = 30m
Calculating the height of the tower:
Let the height of the tower be h meters.
Using trigonometry:
tan(60°) = h / 30
√3 = h / 30
h = 30√3
h = 30√3 meters
Therefore, the height of the tower is 30√3 meters. So, the correct answer is option 'D'.
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If altitude of the sun is60°, the height of a tower which casts a shadow of length 30m isa)10√3mb)15√3mc)20√3md)30√3mCorrect answer is option 'D'. Can you explain this answer?
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