A man 1.7m tall observes a bird on top of a tree at an angle of 30°. if the distance between the man’s head and the bird is 25m, what is the height of the tree?
- 26.7m
-
14.2m
- \(1.7+(25\frac{\sqrt{3}}{3}m\)
- \(1.7+(25\frac{\sqrt{2}}{2}m\)
The correct answer is: B
Explanation
Hint: Make a sketch forming a right angled triangle. Let x = height of the tree above the man. Such that x/25 = sin 30.
x = 12.5m
The height of the tree = 12.5 + 1.7
= 14.2 m