Question

Solve the triangle for x.

a) 50.1 degrees

b) 93.8 degrees

c) 43.7 degrees

d) 86.2 degrees

Answer 1

d) 86.2 degrees

x = 86.20°

Attached is the image used in the question;

Explanation:

Applying the law of cosine;

Cos C = (a² + b² - c²)/2ab

Where;

Angle C = x

c = 13 ft

b = 9ft

a = 10ft

Substituting into the equation;

Cos x = (10² + 9² - 13²)/(2×10×9)

Cos x = 0.0667

x = cos⁻¹(0.0667)

x = 86.20°