Question

PLEASE HELP ME FOR BRAINLIEST!!!!

Answer 1

Answer:

A=52.8 miles (approximately)

Step-by-step explanation:

We can assume that this triangle is not a right angle, therefore we cannot use Pythagorean theorem.  Let's use the Law of Sines:

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

Where A is unknown, a=28 miles, b=32 miles, B=87°

Therefore by law of sines we have:

$\frac{sin(A)}{28} =\frac{sin(87)}{32}$

By multiplying 28 to Isolate sin(A) we have:

$sin(A)=\frac{28*sin(87)}{32}$

To cancel out sine on the right, we must multiply both by the inverse sine and so:

$A=sin^{-1}(\frac{28*sin(87)}{32})=52.7658\\ \\A=52.8mi$