Answer:
c = 28 m
Step-by-step explanation:
Here we have a right triangle with shortest side (a) of length 17 m and smallest angle (A) equal to 37 degrees and positioned opposite side (a). The sine function is applicable here:
17 m
---------- = opp / hyp = sin 37 degrees = approximately 0.602.
c
Then 17 m / c = 0.602, or (after inverting both sides)
c 1
-------- = -----------
17 m 0.602
Solve for c. Cross-multipying, we get 0.602c = 17 m.
Dividing both sidees by 0.602 yields c = 28.24 m, which should be rounded off to the nearest whole number: c = 28 m
