Question

What is the value of sin∠ACD?​

Answer 1

4/5

Explanation:

Sin is opposite over hypotenuse

24 / 30 = 4/5

Answer 2

Answer is 4/5

Explanation:

» From trigonometric ratios of sine:

`{ \tt{ \red{ \sin( \theta) = (opposite)/(hypotenuse) }}} \\`

» But from the triangle given;

• Opposite:

`{ \tt{opposite = (12 + 12) \: ft}} \\ { \underline{ \tt{ \: opposite = 24 \: ft \: }}}`

• Hypotenuse:

`{ \tt{hypotenuse = (15 + 15) \: ft}} \\ { \underline{ \tt{ \: hypotenuse = 30 \: ft \: }}}`

» Therefore, let's find the sine of angle ACD;

`{ \tt{ \sin( \angle ACD) = (24)/(30) }} \\ \\ { \boxed{ \blue{ \tt{ \: \sin( \angle ACD) = (4)/(5) \: }}}}`