Answer: 16.666666 feet
Explanation: 25/9=x/6 (25*2)/3 =50/3 I hoped this helped you solve your problem. Have a good day love!
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The Height of the fence is 8 feet.
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
tan(θ) = Perpendicular/Base
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
Given that a 25-foot tree casts a 6 1/4-foot shadow. Also, At the same time, a fence casts a 2-foot shadow.
Length of the shadow = 6 1/4 feet = 6 + 1/4 = 6.25 feet
Now, since the sun is at the same angle, therefore, the angle between the top of the object and the top of the its shadow will be the same for all the objects. Therefore,
tan(θ) = Height of the tree/Shadow of the tree = Height of the fence/Shadow of the fence
tan(θ) = 25 feet / 6.25 feet = Height of the fence / 2 feet
Height of the fence = (2feet × 25 feet) / 6.25 feet
Height of the fence = 8 feet
Hence, the Height of the fence is 8 feet.
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