# The Standard Law of Sines: Trigonometry problems

*label*Mathematics

*timer*Asked: Feb 27th, 2019

*account_balance_wallet*$10

### Question Description

Directions: Solve each of the following problems

## Tutor Answer

The solutions are ready!

The sine theorem:

π

π

π

=

=

.

sin π΄ sin π΅ sin πΆ

In this context, angles are denoted with capital letters (the angle vertex),

while sides β with small letters (side π is opposite to the angle π΄).

1. π΄ = 77Β°, πΆ = 23Β°, π = 16, find π.

π

π

sin π΄

sin 77Β°

= sin πΆ, i.e. π = π β sin πΆ = 16 β sin 23Β° β ππ. π.

sin π΄

2. π = 25, π = 13Β°, π = 70Β°, find π.

π

π

sin π

sin 13Β°

= sin π, i....

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