Question

What is the value of sin∠ACD?​

Answer 1

Answer:

4/5

Step-by-step explanation:

Sin is opposite over hypotenuse

24 / 30 = 4/5

Answer 2

Answer:

Answer is 4/5

Step-by-step explanation:

» From trigonometric ratios of sine:

${ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}$

» 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;

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