Let's make things easier by simplifying things.
y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x
Thus: y:x = 8:3
The problem would be finding y when x = 45
Let us proceed on using the previous equation and substitute x with 45 which would look like this:
y:45 = 8:3
Ratios can also be expressed as fractions which would make things more understandable and easy to solve. So the new form of our equation would be like this:
y/45 = 8/3
Then we proceed with a cross multiplication where the equation becomes like as what is shown below:
3y = 45 * 8
From there, you can solve it by multiplying 45 and 8 then dividing the product with 3 to get y
3y = 360
y = 120
Another way of looking at the problem, especially problems like these, is to take the whole question or statement as an equation. it would probably look like this:
y = 8 when x = 3 : y = ? when x = 45
This would make you understand what approach you can use to solve the given problem.
Answer:
2/7
Step-by-step explanation:
Answer:
x = 12.3
y = 15.9
Step-by-step explanation:
Apply trigonometric ratio to find x and Reference angle = 51°
Opposite side length = x
Adjacent side length = 10
Hypotensive length = y
✔️To find x, apply TOA:
Tan 51° = Opp/Adj
Tan 51° = x/10
x = Tan 51° × 10
x = 12.3 (nearest tenth)
✔️To find y, apply CAH:
Cos 51° = Adj/Hyp
Cos 51° = 10/y
y × Cos 51° = 10
Divide both sides by Cos 51
y = 10/Cos 51
y = 15.9 (nearest tenth)
40
Your Welcome! ( Smiles )
