use trigonometric ratios and the Pythagorean theorem to solve the triangle.

h ttps://upload.wikimedia.org/wikipedia/commons/6/6f/Rtriangle.svg
c = 13.6 ft
a = 7.2 ft

my answer:
a^2 + b^2 =c^2
7.2^2 +13.6^2 = b^2
51.84 + 184.96 = b^2
√(236.8)= b
15.39 = b

Sin A = 7.2/13.6
A=31.96 = 32

Angle b = 90-32
b= 58

c = 90

is my answer correct?

3 answers

nope. b^2 = c^2 - a^2
the angles are ok, since you didn't have to use b.
I had given you the steps, why did you change the equation?

https://www.jiskha.com/questions/1801467/use-trigonometric-ratios-and-the-Pythagorean-theorem-to-solve-the-triangle-h-ttps-upload-wikimedia-org-wikipedia-commons-6-6f-Rtriangle-svg
31.0cm 13.6 cm