1. The sum of an exterior angle of a triangle and its adjacent interior angle is
2. A tree 32 m high is broken at a point 7 m above the ground, but did not separate. At what distance does the top of the tree touched the ground from its bottom?
Answer:
1. The sum of an exterior angle of a triangle and its adjacent interior angle is 180o.
2. Length of the broken part of the tree = 32 - 7 = 25 mtrs.
Triangle ABC is a right angled triangle, which will be formed by the broken part and remaining part of the tree.
Where a = 7 mtrs., c = 25 Mtrs and b = ?
As we know that (Base)2 + (Perpendicular)2 = (Hypotenuse)2
Base =√(Hypotenuse)2 -(Perpendicular)2 =√(25)2- (7)2 =√625 - 49 =√576 = 24 Mtrs.
Ans: 24 Mtrs.