Find the angle of elevation of the sum (sun's altitude) when the length of the shadow of a vertical pole is equal to its height.
Let θ be the angle of elevation of the sun. Let AB be the vertical pole of height h and BC be the shadow of equal length h.
Here we have to find the angle of elevation of the sun.
We have the corresponding figure as follows.
So we use trigonometric ratios to find the required angle.
In a triangle ABC
`=> tan theta = (AB/(BC)`
`=> tan theta = h/h`
`=> tan theta = 1
`=> theta = 45^@`
Hence the angle of evevation of sun is 45°
Concept: Heights and Distances
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If the height of the vertical pole is equal to the length of its shadow on the ground. Find angle elevation of the sun is
If the height of a vertical pole is √3 times the length of its shadow on the ground then the angle of elevation of the sun at that time is a 30∘ b 45∘ c 60∘ d 75∘
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If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is a 0∘ b 30∘ c 45∘ d 60∘
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