Answer:
4. tan(D)=7/24 ≈ 0.2917
tan(F)=24/7 ≈ 3.4286
6. tan(K)=3/5=0.6000
tan(J)=5/3 ≈ 1.6667
Step-by-step explanation:
The tangent is the side opposite of the angle divided by the side adjacent to the angle.
4. tan(D)=7/24 ≈ 0.2917
EF is opposite to D and has length 7. The adjacent side is the side forming the angle that is not the hypotenuse, so it's DE and the length is 24 units.
Do the same thing for the rest of the angles. (You probably already know that acute angles are smaller than 90 degrees, so you have to find the tangent of 2 angles in each problem.) I just used a calculator to divide, but you could do it by hand, and I'm guessing you know how to round. Hope I could help!
