Solve for x. Round to the nearest whole degree.

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