Answer:
14m
Explanation:
Please refer to the attached figure
B is the position where John is standing, His eyes are at point A, 2 meters from the ground
D is the base of the cliff and E is the top of the cliff
∠EAC is the angle at which John looks up to the cliff and is given as 45°
BD is the distance from the cliff given as 12m
So AC is also 12m
∠ACE is 90°
Therefore ∠AEC is 180-(45+90) = 45° since AEC forms a triangle and sum of angles in a triangle = 180°
In the ΔAEC, by the law of sines
12/sin(45) = EC/sin(45) . This means EC = 12 since the denominators cancel out
Since point C is 2 meters above ground(the base of the cliff) add 2 and we get the height of the cliff as 12+2 = 14m