Answer:
Hi! The correct answer is 0.12!
Step-by-step explanation:
Simplify the expression.
<u>We are Given:</u><u>_______________________________________________</u>
ΔABC right angled at B
BC = 8
AC = 20
<u>Part A:</u><u>_____________________________________________________</u>
Finding the length of AB
From the Pythagoras theorem, we know that:
AC² = BC² + AB²
replacing the given values
(20)² = (8)² + AB²
400 = 64 + AB²
AB² = 336 [subtracting 64 from both sides]
AB = 18.3 [taking the square root of both sides]
<u>Part B:</u><u>_____________________________________________________</u>
Finding Sin(A)
we know that Sin(θ) = Opposite / Hypotenuse
The side opposite to ∠A is BC and The hypotenuse is AC
So, Sin(A) = BC / AC
Sin(A) = 8/20 [plugging the values]
Sin(A) = 2/5
<u>Part C:</u><u>_____________________________________________________</u>
Finding Cos(A)
We know that Cos(θ) = Adjacent / Hypotenuse
The Side adjacent to ∠A is AB and the hypotenuse is AC
So, Cos(A) = AB / AC
Cos(A) = 18.3/20 [plugging the values]
Cos(A) = 183 / 200
<u>Part D:</u><u>_____________________________________________________</u>
Finding Tan(A)
We know that Tan(θ) = Opposite / Adjacent
Since BC is opposite and AB is adjacent to ∠A
Tan(A) = BC / AB
Tan(A) = 8 / 18.3 [plugging the values]
Tan(A) = 80 / 183
You can solve the system by isolating the same variable in both equations, then setting those equations equal to each other. For instance, say we isolate y:
Do the same for the other equation, then set both equations equal to each other. You can then solve for x. Once you have a value for x, you can plug it into either of the original equations and find y!
I can give u hints: when doing order of operations do one step per line
also use pemdas
Answer:
14 miles per 1 hour (14m/1hr), I hope this helps :)
