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mestny [16]
3 years ago
8

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 t

he 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
Mathematics
2 answers:
AlladinOne [14]3 years ago
5 0

Answer: B. 36 feet

Step-by-step explanation:

Let h denotes the height of tree

.

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

\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

Hence, the height of the tree= 36 feet.

Angelina_Jolie [31]3 years ago
3 0
B, 36 feet will be your correct answer.
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