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Ryan places a mirror on the ground 42 feet from the base of a tree. He walks backwards until he can see the top of the tree in the middle of the mirror. At that point, Jason's eyes are 6 feet above the ground and he is 7 feet from the image in the mirror. What is the height of the tree? A. 49 feet B. 36 feet C. 56 feet D. 39 feet

Respuesta :

tranquil99
B, 36 feet will be your correct answer.
JeanaShupp

Answer: B. 36 feet

Step-by-step explanation:

Let h denotes the height of tree

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According to the question, it can be seen that there is a proportional relationship [Property of similar triangles]  .

[tex]\text{i.e.}\dfrac{\text{Tree's height}}{\text{Distance between tree and mirror }}=\dfrac{\text{Jason's height}}{\text{Distance between Jason and mirror}}\\\\\\\Rightarrow\dfrac{h}{42}=\dfrac{6}{7}\\\\\\\Rightarrow\ h=\dfrac{6\times42}{7}=36[/tex]

Hence, the height of the tree= 36 feet.