Answer:
the second option listed
(A = 53 degrees)
(a = 13.3)
(c = 16.6)
Step-by-step explanation:
SOH CAH TOA
(sin = opposite / hypotenuse)
(cos = adjacent / hypotenuse)
(tan = opposite / adjacent)
For this question, you are provided an angle (37), and its opposite (10)
so, we can solve for either sin or tan first.
tan = opposite / adjacent
tan 37 = 0.7535540501
0.7535540501 = 10/a [multiply by a]
0.7535540501a = 10 [divide by [0.7535540501]
a = 13.2704482163
rounded to the nearest tenth, a = 13.3
we know that the three angles shown here must add up to 180
so,
90 + 37 + A = 180
127 + A = 180
- 127 - 127
A = 53
<em>--this is enough information to answer, but I will also solve side c to prove my answer</em>
c = hypotenuse
a²+ b²=c²
[13.3]² + [10]² = c²
176.89 + 100 = c²
276.89 = c²
√276.89 = √c²
16.6400120192 = c
c = 16.6 (rounded to the nearest tenth)
**I am assuming this is a right triangle, otherwise there wouldn't be a matching answer
