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Alika [10]
3 years ago
15

How to find missing angles​

Mathematics
1 answer:
aliina [53]3 years ago
5 0

Since we know that a triangle equals to 180 degrees, we should start by adding together the two known angles inside the triangle. To determine to measure of the unknown angle, be sure to use the total sum of 180 degrees. If two angles are given, add them together and then subtract from 180 degrees. If two angles are the same and unknown, subtract the known angle from 180 degrees and then divide by 2.

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Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
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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

  • <em>Apply SOH:</em>

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

  • <em>Apply TOA:</em>

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

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