In triangle ABC, the right angle is at vertex C, c = 730 cm and the measure of angle A is 78°. To the nearest cm, what is the length of side a?

8.6

Step-by-step explanation:

We use the sine function since side BC is opposite angle A.

By the definition, Sine function is the ratio of the opposite side to the hypotenuse of a right triangle.

Therefore,

sin

A

=

B

C

A

B

substituting the values

A

=

35

°

A

B

=

15

sin

35

°

=

B

C

15

multiply both sides of the equation by 15

and using reflexive property of equality

B

C

=

15

⋅

sin

35

°

B

C

=

8.6