What are the lengths of a right triangle in which one acute angle measures 19 degrees and the hypotnuse is 15 units long

4.884 units, 14.183 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and hypotenuse:

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

Then the Opposite and Adjacent sides can be found by multiplying the sine and cosine of the angle by the length of the hypotenuse.

... short side = 15 · sin(19°) ≈ 4.884 units

... long side = 15 · cos(19°) ≈ 14.183 units

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

addition

step-by-step explanation: