Question

Given the triangle below, what is m < B, rounded to the nearest tenth

Answer 1

Answer:42.1

Explanation:

Answer 2

Therefore m∠ B is 42.1°

Explanation:

Given:

In Δ ABC

AB = 15 = c

AC = 18 = b

∠ C = 34°

To Find:

∠ B = ?

Solution:

In Δ ABC We have Sine Rule as

`(a)/(\sin A)= (b)/(\sin B)= (c)/(\sin C)`

Substituting the given values we get

`(b)/(\sin B)= (c)/(\sin C)`

`(18)/(\sin B)= (15)/(\sin 34)\\\\\sin B=0.671\\\\\therefore B=\sin^(-1)(0.671)=42.14\°`

Therefore m∠ B is 42.1°