MATH SOLVE

2 months ago

Q:
# In △ABC, m∠A=15°, a=9, and b=12. Find c to the nearest tenth.

Accepted Solution

A:

Answer:=20.0Step-by-step explanation:We can first find the angle B using the sine rule as follows:a/Sin A=b/Sin B9/Sin 15=12/ Sin BSin B= (12 Sin 15)/9=0.345B=Sin⁻¹ 0.345=20.18°We then find C by using the summation of the interior angles of a triangle.C=180-(20.18+15)=144.82Finding the length of c:a/Sin A= c/ Sin C9/Sin 15=c/Sin 144.82c=(9 Sin 144.82)Sin 15=20.0