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in Trigonometry by (65.5k points)

Find the angle of elevation of the sun’s rays from a point on the ground at a distance of 3√3m, from the foot of tower 3m high.

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Let AC be the height of the pole AC = 3mts & AB = 3√3m mts 

From the triangle ABC we have 

tan θ = \(\frac{AC}{AB}\) = \(\frac{3}{3\sqrt3}\) = \(\frac{1}{\sqrt3}\) = tan 30° 

∴ The angle of elevation is 30°

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