Question

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

Answer 1

Answer:

Therefore m∠ B is 42.1°

Step-by-step 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

$\frac{a}{\sin A}= \frac{b}{\sin B}= \frac{c}{\sin C}$

Substituting the given values we get

$\frac{b}{\sin B}= \frac{c}{\sin C}$

$\frac{18}{\sin B}= \frac{15}{\sin 34}\\\\\sin B=0.671\\\\\therefore B=\sin^{-1}(0.671)=42.14\°$

Therefore m∠ B is 42.1°

Answer 2

Answer:42.1

Step-by-step explanation: