Answer:
ML = 8.76, LK = 3.56
Step-by-step explanation:
Angle M = 24° is given and Angle K is marked to show it's a right angle. That's 90°. You filled in Angle L = 66° which is correct (subtract 180 - 24 - 90 = 66)
Now for the sides you need trigonometry. It's totally do-able! Let's do ML first. ML is the HYPOTENUSE (longest side and opposite from the right angle) and you're given MK = 8. MK is right next to Angle M, like it is literally apart of Angle M. That means that MK is an ADJACENT side to Angle M. The trig function that puts together ADJ and HYP is cosine. You do need a calculator or maybe your program has a drop down calculator.
cos 24° = ADJ/HYP
cos 24° = 8/ML
(ML)cos 24° = (8/ML)(ML)
(ML)cos 24° = 8
Divide both sides by cos24°
ML = 8/cos24° approximately= 8.76
Make sure sure your calculator is in "degree" mode. You will usually see a tiny "deg" on the scene or check on the "mode" key
You can use trig again to get the third side or use Pythagorean theorem.
Here is the trig. LK is OPPOSITE from angle M. If we use the MK again, the ADJACENT side, we'll need tangent.
tan 24° = LK/8
8tan24° = LK
3.56 = LK
