Question

Find the measure of side c.
m (Round the answer to the nearest whole number.)

Answer 1

c = 28 m

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