Early one morning in Udaipur the shadow of a vertical minaret on level ground is 20 m long, when the angle of elevation of the Sun is 60°. Later the same day the shadow of the same minaret is 60 m long. Find the angle of elevation of the Sun at that later moment.

Question

Accepted Answer

30°. Height first: tan 60 = h/20 => h = 20 √3 m (about 34.64 m). Later: tan(θ) = 20 √360 = √33 = 1√3 => θ = 30°, so the Sun is lower and the shadow is longer.

Early one morning in Udaipur the shadow of a vertical minaret on level ground is 20 m long, when the angle of elevation of the Sun is 60°.
Later the same day the shadow of the same minaret is 60 m long.
Find the angle of elevation of the Sun at that later moment.

Step-by-Step Solution

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More Class 10 Heights and Distances practice

Early one morning in Udaipur the shadow of a vertical minaret on level ground is 20 m long, when the angle of elevation of the Sun is 60°.Later the same day the shadow of the same minaret is 60 m long.Find the angle of elevation of the Sun at that later moment.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

Early one morning in Udaipur the shadow of a vertical minaret on level ground is 20 m long, when the angle of elevation of the Sun is 60°.
Later the same day the shadow of the same minaret is 60 m long.
Find the angle of elevation of the Sun at that later moment.