Answer:
The answer to your question is x = 37°
Step-by-step explanation:
Data
hypotenuse = c = 50
long leg = a = 40
short leg = b = 30
Process
To solve this problem use trigonometric function. The trigonometric functions that can help to find x are sine, cosine and tangent
sinx = b/c
cos x = a/c
tan x = b/a
-Substitution
sinx = 30/50
cos x = 40/50
tan x = 30/40
-Simplification
sinx = 3/5 sin ⁻¹ x = x
cos x = 4/5 cos⁻¹x = x
tan x = 3/4 tan⁻¹x = x
-Result
x = 36.86° ≈ 37°
x = 36.86°
x = 36.86
