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?
-
A.
26.7m -
B.
14.2m -
C.
(1.7+(25frac{sqrt{3}}{3}m) -
D.
(1.7+(25frac{sqrt{2}}{2}m)
Correct Answer: Option 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