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22. If a flag pole of 6 metres high placed on the top of a tower throws a shadow (shadowof polo only) of 2 3 m along the ground, then find the angle of elevation with the sun |
Answer» Angle of elevation with the sun = 60⁰Step-by-step explanation: There is an ERROR in the question. The length of the shadow should ACTUALLY be 2√3, not 23 m. In TRIANGLE ABC, let BC be the pole (perpendicular), then AC is the HYPOTENUSE and shadow of the pole is base AB. Given: Base = 2√3 m Perpendicular BC = 6m Angle BAC is θ, the angle of elevation of the sun. From the given information, we know that: Tan θ = perpendicular / base = height of pole / length of shadow = 6/2√3 = 3/√3 = √3 Tan θ = √3 Therefore θ = Tan⁻¹ √3 = 60⁰ Angle of elevation with the sun = 60⁰ |
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