## Elementary Geometry for College Students (7th Edition)

$DF = 6\sqrt 3 \approx 10.39$ $DE= 6$
By the given Figure $\angle F= 30^{\circ}$ So remaining $\angle F= 60^{\circ}$ FE= 12 given Now by Theorem 5.5.2 / (30-60-90 Theorem) $DF = 6\sqrt 3 \approx 10.39$ $DE= 6$
The passage describes a geometric problem involving a 30-60-90 triangle and provides the lengths of the sides and angles. It also includes the application of the 30-60-90 theorem to determine the side lengths.
no_question
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
## Elementary Geometry for College Students (7th Edition)

$DF = 6\sqrt 3 \approx 10.39$ $DE= 6$
By the given Figure $\angle F= 30^{\circ}$ So remaining $\angle F= 60^{\circ}$ FE= 12 given Now by Theorem 5.5.2 / (30-60-90 Theorem) $DF = 6\sqrt 3 \approx 10.39$ $DE= 6$
user
The passage describes a geometric problem involving a 30-60-90 triangle and provides the lengths of the sides and angles. It also includes the application of the 30-60-90 theorem to determine the side lengths.

TYPE: NO_QUESTION