Need help on 3/4 please help me fast please read it and help me

Step-by-step explanation:

3) ΔABC ≅ ΔDEF

AB = ED   {Corresponding parts of corresponding  triangles are equal}

6y - 4 = 4y +2

add 4 to both sides

6y - 4 + 4 = 4y + 2 + 4

6y = 4y + 6

subtract 4y from both sides

6y - 4y = 4y + 6 - 4y

2y = 6

Divide by 2

y = 3

AB = 6y - 4 = 6*3 - 4 = 18 - 4 =14

AB = 14

ΔABC ≅ ΔDEF

∠A = ∠D   {Corresponding parts of corresponding  triangles are equal}

5x + 2 =87

5x = 87 - 2

5x = 85

x = 85/5

x = 17

In ΔDEF,

∠D + ∠E + ∠F = 180°   {SUM OF ALL ANGLES OF TRIANGLES}

87 +  42 + ∠F = 180  

129 + ∠F = 180°

∠F = 180 - 129

∠F =  51°

ΔABC ≅ ΔDEF

∠C = ∠F   {Corresponding parts of corresponding  triangles are equal}

3y = 51

y= 51/3

y = 17

20

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,