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A man 1.7m tall observes a bird on top of a tree at an an...

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+(2533m

D.

1.7+(2522m

Correct answer is B

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