Answer:
maximum possible error in the computation of the area. =0.18
Step-by-step explanation:
A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long,
with an included angle of π/4. The possible errors in measurement are 1/18 inch for the sides
and 0.01 radian for the angle.Approximate the maximum possible error in the computation of the area.
(Give your answers correct to 2 decimal places.)
AREA = A = 0.5×BC sin(T),
Where B, A and C are 2 adjacent sides and T is their included angle.
DA = 0.5[C sin(T)DB+B sin(T)DC+BC cos(T) DT ]
WE HAVE
B=3" , C=4", T=π/4 DB=DC=(1/18)'', DT=0.01 Radian
DA=0.5[4sin(π/4)(1/18)+3sin(π/4)(1/18)+3×4cos(π/4)0.01]
DA = 0.1799 = 0.18
maximum possible error in the computation of the area. =0.18
