Question

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8m. Find the height of the tree.

• A. 10.45 m
• B. 8.75 m
• C. 16.98 m
• D. 13.856

Answer 1

Answer:

D. 13.856

Height of the tree = (x+y )m tan 30 = x/8 : 1/√3 = x/8 : x = 8/√3 m cos 30 = 8/y : √3/2 = 8/y : y = 16/ √3 m height of the tree = (8/√3 + 16/√3)m =24/√3 = 8√3 = 8 x 1.732 = 13.856 m