The approximate height of the tree will be around 4.6 meters so option (A) will be correct.
What is a trigonometric function?
The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
The situation is making a right-angle triangle with a base of 8 meters and an angle of inclination of 30°.
Tanx = Perpendicular/base
Here perpendicular = Height of the tree so
Tan 30° = (Height of the tree)/8
Height of the tree = 8 × Tan30°
Height of the tree = 8 × 0.577
The height of the tree = is 4.618 meters ≈ 4.6 meters.
Hence, The approximate height of the tree will be around 4.6 meters.
For more information about the trigonometric function,
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