The Area of a Triangle Is Given by the Formula $\theta$

Multiple Choice

The area of a triangle is given by the formula A = ab sin $\theta$ , where $\theta$ is the angle between the sides having lengths a and b. If measurements indicate that a = 4 m with error ± 1 cm,b = 3 m with error ± 1 cm, and $\theta$ = 60° with error ± 2°, use differentials to determine the approximate maximum error in the calculated area of the triangle.

A) about 0.135 m²
B) about 6.015 m²
C) about 0.603 m²
D) about 0.014 m²
E) about 0.862 m²