A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45°. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.
A.
9.0 m
B.
12. 0 m
C.
8.8 m
D.
10.4 m
Correct Answer: Option B
Explanation
\(\tan 45 = \frac{x}{10.4}\) = 10.4m
\(height of the tree is equal to 1.6m + 10.4m=12m\)
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