The ratio of the length of a rod and its shadow is 1: √3. The angle of elevation of the sun is _____?

Answer: 30°
Explanation

The ratio of the length of the rod to its shadow is 1:√3.

This ratio is equal to the tangent of the angle of elevation of the sun (tan(θ) = opposite/adjacent).

So, we can set up the equation: tan(θ) = 1/√3

To find the angle θ, we take the inverse tangent (arctangent) of both sides: θ = arctan(1/√3)

Using a calculator or trigonometric tables, we find that θ = 30°

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