Atraveler comes upon a fork in the road.
on the path to the traveler's right, a sign reads "mercer: 24 km."
on the path to the traveler's left, a sign reads "turtle lake: 17 km
the traveler also observes that the angle between the paths is 75
assuming both paths are perfectly straight, what is the distance between mercer and turtle lake?

*must be in km

The distance between Mercer and Turtle Lake is 25.57 km

Step-by-step explanation:

Law of cosines

When a triangle is defined by two of its sides and the angle formed by them, we can apply the law of cosines to know the third side. Being a and b the known sides and the angle, we write the law of cosines as

In our case:

The distance between Mercer and Turtle Lake is 25.57 km

5.5

step-by-step explanation:

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.