Help!!! Find c. Round to the nearest tenth:

Question

asked Aug 7, 2022 93.0k views

1 Answer

Ryan Vice · Answer 1 · 2022-08-12T22:02:57+0000

Answer:

c = 14.9cm

Explanation:

Given

b = 10cm

$B = 12^(\circ)$

$A = 150^(\circ)$

Required

Determine the length of c

First, we calculate C (the third angle of the triangle).

C = 180 - A - B

C = 180 - 150 - 12

$C = 18^(\circ)$

Using Sine's law, we make use of:

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

By substituting values, we have:

$(sin\ 12)/(10) = (sin 18)/(c)$

Cross multiply

$c* sin\ 12 = 10 * sin\ 18$

Make c the subject

$c = (10 * sin\ 18)/(sin\ 12)$

c = (10 * 0.3090)/(0.2079)

c = 14.9cm approximated