Question

Can you please solve for me please?

Answer 1

`\boxed{\sin D = 0.39 }`

Explanation:

DEF is a right triangle with hypotenuse = 18 and one leg = 7

The law of sines states that the ratios of the sides of a triangle to the sine of the angle opposite that side must be the same for all sides

`(18)/(\sin 90) = (7)/(sin D)`

sin(90) is 1

So the above equation becomes

`18 = (7)/(\sin D)`

Cross multiplying we get

`\sin D = (7)/(18)\\\\\sin D = 0.3889\\`

Rounded to the nearest hundredth ( i.e. 2 decimal places):

`\sin D = 0.39 \quad \quad \textrm{ANSWER}\\\\`