Answer:
Step-by-step explanation:
Given the right angled triangle as shown, the angles A, B and C are related to sides a, b and c using the trigonometry ratio known as SOH CAH TOA.
The triangle has three sides namely the hypotenuse (AB), the opposite and adjacent. The hypotenuse is the longest side and the opposite side of the triangle depends on the acute angle in consideration.
When considering acute angle A, the opposite side will be the side facing the angle directly i.e side a.
According to the trigonometry ratio
SOH:
SinA = opposite/hypotenuse = a/c
CAH:
CosA = adjacent/hypotenuse = b/c
TOA:
TanA = opposite/adjacent = a/b
When considering acute angle B, the opposite side will be 'b' and adjacent will be a. Similarly as above;
SinB = b/c
CosB = a/c
TanB = b/a
If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.
The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).
Therefore;
Where x is the length of the string in feet.
It would be 888/1000, simplified to 111/125.
The first picture about the rational numbers I am not sure the answer.
In the second picture the set that are all equivalent to the fraction is the second set.
In the third picture
the equivalent expression is the first one.
In the fourth picture the correct situation is the first one about buying popcorn.
Hope this helps a little, sorry I could not help more.
Answer:
thx for points
Step-by-step explanation:
have a grate day