Answer:
None of the above
Explanation:
From my perspective...........
From the right angled triangle
using the 30° given
cos∅ = adj/hyp
adj = z
hyp = 24
cos30° = z/24
From trigonometry ratio
cos30° = √3/2
√3/2 = z/24
2z = 24√3
z = (24√3)/2
z = 12√3
z = 20.78
To get the opposite side..........
sin∅ = opp/hyp
sin30° = opp/24
From trigonometry ratio
sin30° = ½
½ = opp/24
2opp = 24
opp = 24/2
opp = 12
From the left hand triangle
tan∅ = opp/adj
using the 45° given in the question....
tan45° = y/12
From trigonometry ratio
tan45° = 1
1 = y/12
y = 12
cos∅ = add/hyp
hyp = x
adj = 12
cos45° = 1/√2
1/√2 = 12/x
x = 12√2
x = 16.97