Question

find the value of the sine for angle A.

Answer 1

@Directrix

Answer 2

find the value of a using pythagoras

\[a^2 =12^2 - 8^2\]

then sin(A) = opposite side/hypotenusse

hope it helps

Answer 3

so 80?

Answer 4

The sine of an acute angle of a triangle is equal to the ratio of the leg opposite that angle to the hypotenuse.

First up, you have to find the length of side a.

12^2 = 8^2 + a^2

@cutegirl --> Solve that for a. Then, there's more work to do.

Answer 5

144=a^2+64

Answer 6

Subtract 64 from both sides of that.

Answer 7

80=a^2

Answer 8

Take the square root of 80. Don't mess with approximations because the answer options are in exact form.

Answer 9

=4√5

Answer 10

4 sqaured 5

Answer 11

Sin(A) = 4√5 / 12

How does that simplify?

Answer 12

4 goes into 12 how many times/

Answer 13

3

Answer 14

@Directrix

Answer 15

So, Sin(A) = 4√5 / 12 = √5 /3

Answer 16

thanks so much

Answer 17

You are welcome.