Someone, please help me lol I'm small brain

Measure of EF: 1.98

Measure of AB: 6.16

Measure of HI: 12.2

Step-by-step explanation:

Trick I learned that's very helpful when solving these problems: SOH (Sine, Opposite, Hypotenuse)- CAH (Cosine, Adjacent, Hypotenuse)- TOA (Tangent, Opposite, Adjacent)

MEASURE OF EF

you're starting with angle D which is 26 degrees. You have the measure of the Hypotenuse (DF) and you're trying to find the measure of EF (the segment opposite the angle) so you would use Sine

to do the equation, i'm going to use x in place of EF. 0.44 = sin(26)

Formula: sin(angle) = (opposite)/(hypotenuse)

Equation:

0.44 = x/4.5       < multiply by 4.5 to get x by itself

4.5*0.44 = x       < 4.5 times 0.44

1.98= x       <answer

MEASURE OF AB

trying to find hypotenuse and you already have the adjacent angle so you would use cosine. Using y in place of AB. 0.616 = sin(52)

cos(angle) = (adjacent)/(hypotenuse)

cos(52) = 10/y      < divide by y

y*0.616 = 10       < divide by 0.616

y = 10/0.616    < next you'll divide 10 by 0.616

y = 6.16    <answer

MEASURE OF HI

trying to find adjacent, already have opposite so you would use tangent. tan(42) = 0.90. using z in place of HI

tan(angle) = (opposite)/(adjacent)

tan(42) = 11/z   < multiply z on both sides

z*0.90 = 11  < divide by 0.90 to get z by itself

z = 11/0.90    < divide 11 by 0.90

z = 12.2

b

step-by-step explanation: