The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base.  The height of the tree is equal to 98 feet.
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Using the tangent function of the trigonometry, we can write the ratio of the height to the base will be equal because the angle of sun rays is the same for both.
Height of Tree /Shadow of Tree = Height of the biologist / Shadow of the biologist
Height of the tree/ 28 = 7/2
Height of the tree = (28×7)/2
Height of the tree = 98 feet
Hence, the height of the tree is equal to 98 feet.
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