11. Five mark exercise problems III

1. From the top of a tree of height \(13 \ m\) the angle of elevation and depression of the top and bottom of another tree are \(45^{\circ}\) and \(30^\circ\) respectively. Find the height of the second tree.

 

Answer:

 

The height of the second tree \(=\)  \(m\).

 

2. The horizontal distance between two buildings is \(140 \ m\). The angle of depression of the top of the first building when seen from the top of the second building is \(30^{\circ}\). If the height of the first building is \(60 \ m\), find the height of the second building. [Use \(\sqrt{3} = 1.732\)]

 

Answer:

 

The height of the second building \(=\)  \(m\)