In January,the low temperature in Denver was -12 degrees,and the low temperature in Chicago was -17 degree.which statement is tr
1 answer:
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we are given
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so, option-D.................Answer
Answer:
The palm tree is 12 m tall.
Step-by-step explanation:
1. The first to see is to consider this as triangle formed by the palm tree, the shadow, and the line from the top of the tree to the tip of the shadow to the tip the palm.
2. Assign variables to each distance in the triangle
Palm length= X
Shadow length= y
line from the top of the tree to the tip of the shadow to the tip the palm = Z
3. Describe the equation, reading the text:
(1) y=x-7
(2) z=x+1
(3) (this last one is from pitagoras theorem)
4. We solve the system:
{y = x - 7, z = x + 1, z^2 = x^2 + y^2}
Solutions
x = 4, y = -3, z = 5
x = 12, y = 5, z = 13
Since the distance can't be negative. The answer is the palm tree is 12 meters tall.
https://www.wolframalpha.com/input/?i=y%3Dx-7%3B+z%3Dx%2B1%3Bz%5E2%3Dx%5E2%2By%5E2