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How far away from the tree is the girl ?

A. 30 feet
B. 70 feet
C. 20 feet
D. 50 feet

How far away from the tree is the girl ? A. 30 feet B. 70 feet C. 20 feet D. 50 feet-example-1

1 Answer

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Answer:

The correct option is C. 50 feet.

Therefore the girl is 50 feet away from the tree.

Explanation:

Consider a Right angle Triangle

Elevation to the tree is ' θ '

Adjacent Side to θ = distance from the tree to girl = distance

Opposite Side to θ = height of the tree = height


\tan \theta =(20)/(50)

To Find:

distance from the tree to girl = distance

Solution:

In Right angle Triangle Tangent Identity


\tan \theta = \frac{\textrm{side opposite to angle theta}}{\textrm{side adjacent to angle theta}}

Substituting we get


\tan \theta = \frac{\textrm{height of the tree}}{\textrm{distance from the tree to girl}}


\tan \theta = (height)/(distance)


\tan \theta =(20)/(50) ........Given

Comparing the given equation with the above we get


distance =50\ feet

Therefore the girl is 50 feet away from the tree.

User Juan Rivillas
by
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