Based on the right-angle triangle shown below, the sine of ∠A include the following: B.) 3/5.
In order to determine the magnitude of angle A, we would apply the basic sine trigonometric ratio because the given side lengths represent the opposite side (CB) and hypotenuse (AB) of a right-angled triangle;
sin(θ) = Opp/Hyp
Where:
- Opp represent the opposite side of a right-angled triangle.
- Hyp represent the hypotenuse of a right-angled triangle.
- θ represent the angle.
Based on sine trigonometric ratio, the magnitude of angle A can be calculated as follows:
sin(θ) = Opp/Hyp
sin(A) = CB/AB
sin(A) = 3/5.
In conclusion, we can reasonably and logically deduce that the sine of angle A (m∠A) is 3/5.
Complete Question:
Find the sine of ∠A.
A.) 3/4
B.) 3/5
C.) 4/5
D.) 4/3