Question

In ΔABC, the measure of ∠C=90°, AC = 56, BA = 65, and CB = 33. What ratio represents the sine of ∠A?

Answer 1

Answer:

80 degree

Step-by-step explanation:

Answer 2

The ratio 33/65 represents the sine of ∠A and the value of the angle A is 30.51° if the measure of ∠C=90°, AC = 56, BA = 65, and CB = 33.

What is a right-angle triangle?

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

Triangle ABC represents a right-angle triangle(refer to attached picture)

We know sin is the ratio of the opposite to the hypotenuse.

Let's suppose the ∠A is α

From the figure:

$\rm Sin\alpha = \frac{BC}{AB}$

$\rm Sin\alpha = \frac{33}{65}$

Sinα = 0.507

α = 30.51°

Thus, the ratio 33/65 represents the sine of ∠A and the value of the angle A is 30.51° if the measure of ∠C=90°, AC = 56, BA = 65, and CB = 33.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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