Respuesta :
okay so u only know one distance in this triangle! but u can find all three angles and get a side angle angle or SAA triangle and can solve with the law of cosines or sines from there
what is the side? that's 5 miles
what are the angles?
given north is at 90°, 57° west of north means one angle is 90° +50° = 147°
given south is 90° -69° = 21°
third angle is 180° -147° -21° = 12°
this means 12° is opposite 5 miles
hence distance from muffin observatory to chubacabra trail is 5 miles
distance from sasquatch point to muffin observatory is found from the law of sines
d /sin(147°) = 5 /sin(12°)
d = 5 *sin(147°) /sin(12°) = 13.10 miles
then distance from sqsuqtahc point to chubacapra trail is
d /sin(21°) = 5 /sin(12°)
d = 5 *sin(21°) /sin(12°) = 8.62 miles
This exercise is necessary to have a knowledge of geometry in order to analyze the points and calculate the distance of each station, in this way we find that:
A) [tex]13.10 miles[/tex]
B) [tex]8.62 miles[/tex]
First, it is possible to see that the three points form a triangle and to do this we now need to find the angles so that we can then make the calculations given in advance, that is, we will have the angles as:
Given north is at 90°, 50° west of north means one angle is: 90° +50° = 147°
Given south is: 90° -69° = 21°
Third angle is :180° -147° -21° = 12°
This means 12° is opposite 5 miles
A) Distance from Sasquatch Point to Muffin Ridge Observatory is found from the law of sines:
[tex]d /sin(147\°) = 5 /sin(12\°)\\d = 5 *sin(147\°) /sin(12\°) = 13.10 miles[/tex]
B) Then distance from Sasquatch Point to Chupacabra Trailhead is:
[tex]d /sin(21\°) = 5 /sin(12\°)\\d = 5 *sin(21\°) /sin(12\°) = 8.62 miles[/tex]
See more about distance at brainly.com/question/21470320
