In ΔEFG, the measure of ∠G=90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ∠F? In triangle EFG, the measure of ∠G is 90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ∠F?### Explanation:In this problem, you are given a right triangle, EFG, where:- ∠G is the right angle, measuring 90°.- The lengths of the sides are: - EG = 11 - FE = 61 - GF = 60To find the sine of ∠F (sin F), you will use the definition of the sine function for a right triangle, which is the ratio of the length of the side opposite the angle to the length of the hypotenuse.### Details:1. **Opposite Side to ∠F (GF)**: The side opposite to ∠F is GF, which is given as 60.2. **Hypotenuse (FE)**: The hypotenuse of the triangle is the side opposite the right angle, which is FE, given as 61.### Sine Calculation:\[ \sin F = \frac{\text{Opposite Side (GF)}}{\text{Hypotenuse (FE)}} \]Plugging in the given values:\[ \sin F = \frac{60}{61} \]Thus, the ratio that represents the sine of ∠F is \( \frac{60}{61} \).

Name: In ΔEFG, the measure of ∠G=90°, EG = 11, FE = 61, and GF = 60. What ra
Uploaded: 2024-03-20T06:47:08.000Z
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Description: In ΔEFG, the measure of ∠G=90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ∠F? In triangle EFG, the measure of ∠G is 90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ∠F?### Explanation:In this problem, you a