Question

Which equation can be used to solve for c? sin(50o) = StartFraction 3 Over c EndFraction sin(50o) = StartFraction c Over 3 EndFraction cos(50o) = StartFraction c Over 3 EndFraction cos(50o) = StartFraction 3 Over c EndFraction

Right triangle ABC is shown.



Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.

Answer 1

answer is sin(50*) = 3/c

Explanation:

Answer 2

Answer: The correct answer is option 1;

Sin 50° = StartFraction 3 Over c EndFraction

That is, Sin 50° = 3/c

Step-by-step explanation: Please refer to the picture attached for further details.

The right triangle ABC is given and the angle ACB is identified as the 90 degree angle (the right angle). Also the angle CBA is given as 50° and the side marked as AC is given as 3 units. Then, the other two sides are given as CB which is marked a and AB which is marked c.

The resulting right angled triangle as shown in the attached picture now has the hypotenuse as c. The opposite is 3 since its the side facing the reference angle, and the adjacent is a since its the side that lies between the reference angle and the right angle.

Using the reference angle which is given as 50, side c can now be solved using the trigonometric ratio as follows;

Sin 50 = opposite / hypotenuse

Sin 50 = 3/c