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: $cos \ 40^{\circ} = 0.7660$)