5/4
as 1.00/0.80 = 100/80
and then when you simplify it the answer would be 4/5.
Applying the trigonometry ratios, we have:
a. CD = 63.6
b. CD = 33.8
c. CD = 16.1
d. CD = 15.9
<h3>What are the Trigonometry Ratios?</h3>
The trigonometry ratios are used to find a length or angle in any right triangle. They are:
- SOH, which is sin ∅ = opp/hyp
- CAH, which is cos ∅ = adj/hyp
- TOA, which is tan ∅ = opp/adj
a. ∅ = 32°
hyp = 75
adj = CD
Apply CAH:
cos 32 = CD/75
CD = cos 32 × 75
CD = 63.6
b. ∅ = 56°
opp = 28
hyp = CD
Apply SOH:
sin 56 = 28/CD
CD = 28/sin 56
CD = 33.8
c. ∅ = 43°
opp = 15
adj = CD
Apply TOA:
tan 43 = 15/CD
CD = 15/tan 43
CD = 16.1
d. ∅ = 27°
hyp = 35
opp = CD
Apply SOH:
sin 27 = CD/35
CD = sin 27 × 35
CD = 15.9
Learn more about the trigonometry ratios on:
brainly.com/question/10417664
It
is given that the two figures are similar. This means that mV is equal to mN,
mW is equal to mO, and mX is equal to mP. The sum of the angles of a triangle
is equal to 180 degrees.
<span> mV + mW + mX = 180</span>
Substituting
the known variables and the conditions given in the description of the similar
triangles,
<span> 44 + mW + 66 = 180</span>
<span>The
value of mW in the equation is 70 degrees. </span>
