Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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**Choose the correct answer.** In the accompanying diagram, the ratio of the length of the side opposite to ∠A to the length of the hypotenuse is (1) \(\frac{7}{24}\) (2) \(\frac{24}{25}\) (3) \(\frac{7}{25}\) (4) \(\frac{24}{7}\) O Choice 1 O Choice 2 O Choice 3 O Choice 4 **Diagram Explanation:** The provided diagram is a right-angled triangle labeled as △ABC. Angle ∠A is situated at vertex A, ∠B is the right angle (90°) situated at vertex B, and ∠C is situated at vertex C. - The hypotenuse is the side opposite the right angle (∠B) and is labeled as 25 units. - The side adjacent to ∠A and opposite ∠C is labeled as 24 units. - The side opposite ∠A and adjacent to ∠B is labeled as 7 units. Using this information, you need to determine the ratio of the side opposite to ∠A (which is 7 units) to the hypotenuse (which is 25 units).
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Transcribed Image Text:**Choose the correct answer.** In the accompanying diagram, the ratio of the length of the side opposite to ∠A to the length of the hypotenuse is (1) \(\frac{7}{24}\) (2) \(\frac{24}{25}\) (3) \(\frac{7}{25}\) (4) \(\frac{24}{7}\) O Choice 1 O Choice 2 O Choice 3 O Choice 4 **Diagram Explanation:** The provided diagram is a right-angled triangle labeled as △ABC. Angle ∠A is situated at vertex A, ∠B is the right angle (90°) situated at vertex B, and ∠C is situated at vertex C. - The hypotenuse is the side opposite the right angle (∠B) and is labeled as 25 units. - The side adjacent to ∠A and opposite ∠C is labeled as 24 units. - The side opposite ∠A and adjacent to ∠B is labeled as 7 units. Using this information, you need to determine the ratio of the side opposite to ∠A (which is 7 units) to the hypotenuse (which is 25 units).
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