Answer:
a=25.km
Explanation:
A traveler comes upon a fork in the road on the path to the travelers right a sign reads Mercer 24 km
The concluding part could be the following:
On the path to the traveler's left, a sign reads "Turtle Lake: 17km." The traveler also observes that the angle between the paths is 1.3 radians. Assuming both paths are perfectly straight, what is the distance between Mercer and Turtle Lake? km Round your answer to the nearest kilometer
since the angle between them is actually 1.3 rad
lets convert to degrees
74.48 degrees
using cosine of angle we can find the distance between the two destinations
=74.48 deg
a^2=17^2+24^2-(2*17*24)cos74.48
a^2=646.65
find the square root of both sides
a=25.42km
approximately=25Km