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The hypotenuse of the right triangle ΔABC shown below is 17 feet long. The cosine of angle C is 3/5. How many feet long is the segment AC ?
- a)6
- b)10.2
- c)12
- d)15
- e)28.3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The hypotenuse of the right triangle ΔABC shown below is 17 feet...
The correct answer is b. To find the length of the segment AC in ΔABC, where the length of the hypotenuse is 17, and the cosine of ∠C is 3/5, use the definition of cosine: the ratio of the lengths of the adjacent side to the length of the hypotenuse.
In ΔABC cosine of ∠C is the ratio of the segment AC to the length of the hypotenuse.
After substituting the length of the hypotenuse, we get 3/5 = AC/17, and AC =
or 10.2 feet.
In ΔABC cosine of ∠C is the ratio of the segment AC to the length of the hypotenuse.
After substituting the length of the hypotenuse, we get 3/5 = AC/17, and AC =
or 10.2 feet.Most Upvoted Answer
The hypotenuse of the right triangle ΔABC shown below is 17 feet...
The correct answer is b. To find the length of the segment AC in ΔABC, where the length of the hypotenuse is 17, and the cosine of ∠C is 3/5, use the definition of cosine: the ratio of the lengths of the adjacent side to the length of the hypotenuse.
In ΔABC cosine of ∠C is the ratio of the segment AC to the length of the hypotenuse.
After substituting the length of the hypotenuse, we get 3/5 = AC/17, and AC = or 10.2 feet.
In ΔABC cosine of ∠C is the ratio of the segment AC to the length of the hypotenuse.
After substituting the length of the hypotenuse, we get 3/5 = AC/17, and AC =
or 10.2 feet.
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The hypotenuse of the right triangle ΔABC shown below is 17 feet long. The cosine of angle C is 3/5. How many feet long is the segment AC ?a)6b)10.2c)12d)15e)28.3Correct answer is option 'B'. Can you explain this answer?
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