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If the length of the shadow of a tower is equal to its height, then the angle of elevation of the sun is
  • a)
    30°
  • b)
    45°
  • c)
    60°
  • d)
    65°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the length of the shadow of a tower is equal to its height, then th...
Let AB be the tower and AC be its shadow 

And AB = AC= x m
Let the angle of elevation of the sun be θ.
Then ∠ACB = θ
In right angled triangle ABC 

Therefore, the angle of elevation of the Sun is 45°.
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Community Answer
If the length of the shadow of a tower is equal to its height, then th...
The angle of elevation of the sun is 45 degrees.

We can use the concept of similar triangles to find the angle of elevation. Let's assume the height of the tower is h and the length of the shadow is also h.

In a right triangle, the tangent of the angle of elevation is equal to the opposite side divided by the adjacent side. In this case, the opposite side is h (the height of the tower) and the adjacent side is h (the length of the shadow).

Therefore, tan(angle of elevation) = h/h = 1.

To find the angle of elevation, we can take the inverse tangent (arctan) of 1. This gives us an angle of 45 degrees.

So, the angle of elevation of the sun is 45 degrees.
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If the length of the shadow of a tower is equal to its height, then the angle of elevation of the sun isa)30°b)45°c)60°d)65°Correct answer is option 'B'. Can you explain this answer?
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