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3 years ago

1) Solve for Side A 2) Solve for Angle B

Mathematics

2 answers:

motikmotik3 years ago

8 0

Answer:

1) 42.51

2) 39.76

algol [13]3 years ago

5 0

Answer:

solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B= $\frac{a²+c²-b²}{2ac}$

Cos B= $\frac{42.51²+20²-30²}{2*42.51*20}$

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46

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