to convert any decimal to a fraction, we simply use "as many zeros on the denominator as there are decimals, and lose the dot above", so 4.875 has three decimals, so let's put three zeros below it then.
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.
1 answer:
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:
You might be interested in
For this case we have the following function:
We look for the points of intersection with the x axis, doing y = 0
We look for the points of intersection with the y axis, doing x = 0
We can also observe that the slope is -1.
Answer:
See attached image
