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At some time of the day, the length of the shadow of a tower is equal to its height. Then the Sun's altitude at that time is

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45 °

90 °

30 ∘

60 °

answer is D.

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Detailed Solution

Given that the length of the shadow of a tower is equal to its height.
We have to find the altitude of the sun.
At some time of the day, the length of the shadow of a tower is equal to its height. Find the sun's altitude at the times.

At some time of the day, the length of the shadow of a tower is equal to its height. Find the sun's altitude at the times.

In a right-angle triangle,

tan θ = Opposite side Adjacent side .

Suppose the length of the shadow be x.
So,

tan θ = x x ⇒ tan θ = 1 ⇒ θ = 45 °

Therefore, the sun’s altitude at that time is

45 °

Therefore, the correct option is 4

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