+981 64.
You tangent for 64.
sin 28 = 26 / YX
sin 28 is about 0.27
0.27 = 26/YX
you can solve for YX
+981 It is an equation, 0.27 = 26/YX
you multiply both sides by YX
0.27 * YX = 26
YX is about 96.
+2448 But that's incorrect...YX is 55.4 mm and YZ is 48.9 mm
I just need to figure out how to get those answers
+981 To solve YZ, you use tangent.
Tangent is opposite over adjacent.
Tan 28 = 26/ YZ
you can solve for YZ
Sin(28) = 26 / YX
0.46947... = 26 / YX cross multiply
0.46947*YX = 26 divide both sides by 0.46947
YX = 26 / 0.46947
YX =~55.4 mm
Tan(28) = 26 / YZ
0.531709 = 26 / YZ Cross multiply
0.531709*YZ = 26 Divide both sides by 0.531709
YZ = 26 / 0.531709
YZ =~48.9 mm
63)
(x + 2)^2 + y^2 =25.......................(1)
-x + y = 1.......................................(2)
y =1 + x sub this into (1)
(x + 2)^2 + (1 + x)^2 = 25, solve for x
(x + 1)^2 + (x + 2)^2 = 25
Expand out terms of the left hand side:
2 x^2 + 6 x + 5 = 25
Divide both sides by 2:
x^2 + 3 x + 5/2 = 25/2
Subtract 5/2 from both sides:
x^2 + 3 x = 10
Add 9/4 to both sides:
x^2 + 3 x + 9/4 = 49/4
Write the left hand side as a square:
(x + 3/2)^2 = 49/4
Take the square root of both sides:
x + 3/2 = 7/2 or x + 3/2 = -7/2
Subtract 3/2 from both sides:
x = 2 or x + 3/2 = -7/2
Subtract 3/2 from both sides:
x = 2 and y = 3 or x = -5 and y = - 4
