Speed traveling west = x - 10 km /hr
275 / ( x-10) - 300 / x = 1/2
275 *2x - 300 (x-10)*2 = ( x-10) *x
550x - 600x +6000 = x^2 -10x
x^2 +40x - 6000 = 0
( x -60) ( x+100) = 0
x = 60
ANSWER East = 60 km/ hr West = 50 km /hr
CHECK
300 /60 = 5 hours
275 /50 = 5.5 hours
$69.24 is the correct answer because 56.75 multiplied by 1.22 is 69.24
Answer:


Step-by-step explanation:
To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.
a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

we can substitute the value of sec(θ) in this equation:

and solve for for cos(θ)

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by
b) since right triangle is mentioned in the question. We can use:

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:
- length of the adjacent side = 1
- length of the hypotenuse = 52
we can find the third side using the Pythagoras theorem.




- length of the opposite side = √(2703) ≈ 51.9904
we can find the sin(θ) using this side:


and since 
