Answer:
here you have to use the law of sines
let tree make an angle of 83 deg.with the ground. (YZ)angle ZYX = 83deg
he walks 100 feet away from tree to point X (YX)angle YXZ= 33 deg
so remaining angle YZX = 64 deg
triangle YXZ is formed
sin A /a = sin B /b = sin C /c
Sin YZX/100 = sin YXZ/ YZ
sin 64/100 = sin 33/YZ
100 * sin 33/sin 64 = YZ
100*0.54/0.898= YZ
YZ= 60.13 feet the height of the tree
Step-by-step explanation:
X = 38
2x is equal to the angle next to the x + 66 angle because ℓ1 ∥ ℓ2 is parallel so:
2x + x + 66 = 180 -- combine like terms
3x + 66 = 180 -- subtract 66 from both sides
3x = 114 -- divide by 3 on both side
x = 38
Parallel lines implies that angle w(the known angle 58 degrees) is congruent to angle z(right next to angle 2) and that angle z is congruent to angle 5 because if corresponding angles are congruent to make angle 5 be 58 degrees
hope i helped
First one has parentheses, second one doesn't.<span />
If i did the math right it would be (C)
