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The hypotenuse of the right triangle LMN shown below is 22 feet long. The cosine of angle L is 3/4. How many feet long is the segment LM?
- a)18.4
- b)16.5
- c)11.0
- d)6.7
- e)4.7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The hypotenuse of the right triangle LMN shown below is 22 feet long. ...
The correct answer is b. To find the length of the segment LM in ΔLMN, where the length of the hypotenuse is 22 and the cosine of angle L is 3/4, use the definition of cosine, which is the ratio of the length of the adjacent side to the length of the hypotenuse. In ΔLMN, the cosine of angle L is the ratio of the length of segment LM to the length of the hypotenuse. Substitute the length of the hypotenuse and solve for LM, as follows:
3/4 = LM/22
4 x LM = 22 x 3
LM = 66/4, or 16.5, answer choice G.
3/4 = LM/22
4 x LM = 22 x 3
LM = 66/4, or 16.5, answer choice G.
Most Upvoted Answer
The hypotenuse of the right triangle LMN shown below is 22 feet long. ...
The correct answer is b. To find the length of the segment LM in ΔLMN, where the length of the hypotenuse is 22 and the cosine of angle L is 3/4, use the definition of cosine, which is the ratio of the length of the adjacent side to the length of the hypotenuse. In ΔLMN, the cosine of angle L is the ratio of the length of segment LM to the length of the hypotenuse. Substitute the length of the hypotenuse and solve for LM, as follows:
3/4 = LM/22
4 x LM = 22 x 3
LM = 66/4, or 16.5, answer choice G.
3/4 = LM/22
4 x LM = 22 x 3
LM = 66/4, or 16.5, answer choice G.
Community Answer
The hypotenuse of the right triangle LMN shown below is 22 feet long. ...
The correct answer is b. To find the length of the segment LM in ΔLMN, where the length of the hypotenuse is 22 and the cosine of angle L is 3/4, use the definition of cosine, which is the ratio of the length of the adjacent side to the length of the hypotenuse. In ΔLMN, the cosine of angle L is the ratio of the length of segment LM to the length of the hypotenuse. Substitute the length of the hypotenuse and solve for LM, as follows:
3/4 = LM/22
4 x LM = 22 x 3
LM = 66/4, or 16.5, answer choice G.
3/4 = LM/22
4 x LM = 22 x 3
LM = 66/4, or 16.5, answer choice G.
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The hypotenuse of the right triangle LMN shown below is 22 feet long. The cosine of angle L is 3/4. How many feet long is the segment LM?a)18.4b)16.5c)11.0d)6.7e)4.7Correct answer is option 'B'. Can you explain this answer?
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The hypotenuse of the right triangle LMN shown below is 22 feet long. The cosine of angle L is 3/4. How many feet long is the segment LM?a)18.4b)16.5c)11.0d)6.7e)4.7Correct answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The hypotenuse of the right triangle LMN shown below is 22 feet long. The cosine of angle L is 3/4. How many feet long is the segment LM?a)18.4b)16.5c)11.0d)6.7e)4.7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hypotenuse of the right triangle LMN shown below is 22 feet long. The cosine of angle L is 3/4. How many feet long is the segment LM?a)18.4b)16.5c)11.0d)6.7e)4.7Correct answer is option 'B'. Can you explain this answer?.
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