The height of the tree is 20 feet or the tree is 20 feet tall after using the tan ratio option (B) 20 feet is correct.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
It is given that:
tan(θ) = 20/50
tan is the trigonometric ratio.
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
As we know, tan is the ratio of the opposite to the adjacent.
From the figure:
tan(θ) = height/distance
tan(θ) = 20/50
The height of the tree = 20 feet
The distance of the tree = 50 feet
Thus, the height of the tree is 20 feet or the tree is 20 feet tall after using the tan ratio option (B) 20 feet is correct.
Learn more about trigonometry here:
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