If the length of shadow of a 15m. high pole is 5√3m.at morning 8am, then what is the angle of elevation of the sunrays with the ground at that time.
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Let us take the scenario in the form of a right triangle, where the height of the pole is represented as AB, the shadow of the pole is represented as BC. Let
∠ C be the angle of Elevation.
So, We know that,
Tan Ф = Opposite / Adjacent
=> Tan Ф = 15 / 15 √ 3
=> Tan Ф = 1 / √ 3
We know that, Tan 30° = 1 / √ 3
So we can say that, Ф = 30°
Hence the angle of Elevation of the sum at that time was 30°.
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