Question

Find Measure of angle B (m18. a = 7 m, b = 5 m, m∠A = 45°

Answer 1

Answer:

30.34 degree

Step-by-step explanation:

Apply sine formula

$\frac{sin\left(A\right)}{a}=\frac{sin\left(B\right)}{b}$

$\frac{\sin \left(45^{\circ \:}\right)}{7}=\frac{\sin \left(b\right)}{5}$

->simplify

$\frac{\sin \left(b\right)}{5}=\frac{\frac{\sqrt{2}}{2}}{7}$

you will get

$\sin \left(b\right)=\frac{5\sqrt{2}}{14}$

which
sin b is about 0.50507

$sin^{-1}\left(0.50507\right)$

->arc sine in degree mode

the answer is 30.34