18. Five mark example problem V

Two trees are standing on flat ground. The angle of elevation of the top of both the trees from a point \(X\) on the ground is \(40^{\circ}\). If the horizontal distance between \(X\) and the smaller tree is \(8 \ m\) and the distance of the top of the two trees is \(20 \ m\), calculate:

 

Answer:

 

(i) The distance between the point \(X\) and the top of the smaller tree \(=\)

 

(ii) The horizontal distance between the two trees \(=\)  

 

(Use: \(cos \ 40^{\circ} = 0.7660\))