List of top Quantitative Aptitude Questions on Heights and Distances

Find the angle of elevation of the Sun, when the length of the shadow of a tree is \( \frac{1}{\sqrt{3}} \) times the height of the tree.
Find the angle of elevation of the Sun, when the length of the shadow of a tree is \( \sqrt{3} \) times the height of the tree.
Two vertical lamp-posts of equal height stand on either side of a road 50 m wide. At a point \(P\) on the road between them, the elevation of the tops of the lamp-posts are \(60^\circ\) and \(30^\circ\). Find the distance of \(P\) from the lamp-post which makes angle of \(60^\circ\).
A ladder leaning against a wall makes an angle of 45° with the ground. If the length of the ladder is 10 m, what is the distance of the foot of the ladder from the wall?
A mobile tower technician stands five hundred meters away from the base of the tower.He stares the top of the tower at an angle of elevation of 45°.Calculate the height of the tower.