Applying trigonometric ratios, the missing segments lengths in the image attached below are: <em>a = 8√3; b = 12.</em>
<h3>The Trigonometric Ratios</h3>
- SOH is sin ∅ = opp/hyp
- CAH is cos ∅ = adj/hyp
- TOA is tan ∅ = opp/adj
- SOHCAHTOA is used to solve right triangles.
Given the right triangle in the mage attached below, we would find the missing sides as follows:
<em>Find a:</em>
Reference angle (∅) = 30°
opposite = 4√3
hypotenuse = a
sin 30 = (4√3)/a
a = (4√3)/sin 30
a = (4√3)/(1/2) (sin 30 = 1/2)
a = (4√3)×2
a = 8√3
<em>Find b:</em>
Reference angle (∅) = 60°
opposite = b
adjacent = 4√3
tan 60 = b/(4√3)
b = tan 60 × 4√3
b = √3 × 4√3
b = 12
Therefore, applying trigonometric ratios, the missing segments lengths in the image attached below are: <em>a = 8√3; b = 12.</em>
Learn more about trigonometric ratios on:
brainly.com/question/4326804
Answer:
C and D
Step-by-step explanation:
It’s the answer because it has to be greater than 60
Answer: 1 mile.
Explanation: 1/2 of an hour is 1 mile because the speed was 2 miles an hour so if you do half of that it is 1 mile.
Answer:
Step-by-step explanation:
A=number Adult tickets;S=A+74= number Student tickets
Total tickets=adult tickets + student tickets
724=A+(A+74)
724=2A+74 Subtract 74 from each side
650=2A divide each side by 2
325=A ANSWER 1: There were 325 Adult tickets sold
Answer:
56
Step-by-step explanation:
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