A lamp post 9 m tall in a Pune park casts a shadow 9 √3 m long on level ground. At the same moment a tree 6 m tall standing nearby also casts a shadow. Find (i) the angle of elevation of the Sun and (ii) the exact length of the tree's shadow (in m).

Question

Accepted Answer

30° and 6 √3 m. tan(θ) = 99 √3 = 1√3 => θ = 30°. The Sun's elevation is the same for every object at that moment, so for the tree tan 30 = 6/s => s = 6 √3 m (about 10.39 m).

A lamp post 9 m tall in a Pune park casts a shadow 9 $3$ m long on level ground.
At the same moment a tree 6 m tall standing nearby also casts a shadow.
Find (i) the angle of elevation of the Sun and (ii) the exact length of the tree's shadow (in m).

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More Class 10 Heights and Distances practice

A lamp post 9 m tall in a Pune park casts a shadow 9 3​ m long on level ground.At the same moment a tree 6 m tall standing nearby also casts a shadow.Find (i) the angle of elevation of the Sun and (ii) the exact length of the tree's shadow (in m).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A lamp post 9 m tall in a Pune park casts a shadow 9 $3$ m long on level ground.
At the same moment a tree 6 m tall standing nearby also casts a shadow.
Find (i) the angle of elevation of the Sun and (ii) the exact length of the tree's shadow (in m).