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If the shadow of a tower is 30m long, when the sun’s elevation is 30°. The length of the shadow, when the sun’s elevation is 60°is
- a)10m
- b)20m
- c)30m
- d)40m
Correct answer is option 'A'. Can you explain this answer?
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If the shadow of a tower is 30m long, when the sun’s elevation i...
Therefore, the length of the shadow is 10m long.
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If the shadow of a tower is 30m long, when the sun’s elevation i...
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If the shadow of a tower is 30m long, when the sun’s elevation i...
Is at an angle of 60 degrees, how tall is the tower?
We can use trigonometry to solve this problem. Let's denote the height of the tower as "h". The angle of elevation from the top of the tower to the tip of its shadow is 60 degrees.
Using the tangent function, we have:
tan(60 degrees) = h / 30m
Since the tangent of 60 degrees is √3, we can rewrite the equation as:
√3 = h / 30m
To solve for "h", we can multiply both sides of the equation by 30m:
√3 * 30m = h
Simplifying, we get:
h = 30√3 m
So, the height of the tower is approximately 51.96 meters.
We can use trigonometry to solve this problem. Let's denote the height of the tower as "h". The angle of elevation from the top of the tower to the tip of its shadow is 60 degrees.
Using the tangent function, we have:
tan(60 degrees) = h / 30m
Since the tangent of 60 degrees is √3, we can rewrite the equation as:
√3 = h / 30m
To solve for "h", we can multiply both sides of the equation by 30m:
√3 * 30m = h
Simplifying, we get:
h = 30√3 m
So, the height of the tower is approximately 51.96 meters.
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