1. ## Distance

If the distance from the point (5,k) to the line 5x - 12y + 8 = 0 is 15, find k.

THanks

2. Originally Posted by Mr_Green
If the distance from the point (5,k) to the line 5x - 12y + 8 = 0 is 15, find k.

THanks
The distance from this point to this line is:
$\displaystyle \frac{| 5(5) - 12 (k)-8|}{\sqrt{5^2+12^2}} = 15$.
Now solve.
The text contains a mathematical question about finding the value of \( k \) given the distance from a point to a line, and it also provides the setup for solving the problem.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
1. ## Distance

If the distance from the point (5,k) to the line 5x - 12y + 8 = 0 is 15, find k.

THanks

2. Originally Posted by Mr_Green
If the distance from the point (5,k) to the line 5x - 12y + 8 = 0 is 15, find k.

THanks
The distance from this point to this line is:
$\displaystyle \frac{| 5(5) - 12 (k)-8|}{\sqrt{5^2+12^2}} = 15$.
Now solve.
user
The text contains a mathematical question about finding the value of \( k \) given the distance from a point to a line, and it also provides the setup for solving the problem.

TYPE: SINGLE_QUESTION_WITH_ANSWER