Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you solve the triangle given A=99, a=2.5, b=1.5?

1 Answer

sankarankalyanam

Feb 25, 2018

$ˆ B = {36.34}^{\circ}, ˆ C = {44.66}^{\circ}, c = 1.7792$ $color(purple)(hat B = 36.34^@, hat C = 44.66^@, c = 1.7792$

Explanation:

enter image source here

$sin B = \frac{b \cdot sin A}{a} = \frac{1.5 \cdot sin 99}{2.5} = 0.5926$ $sin B = (b * sin A) / a = (1.5 * sin 99)/ 2.5 = 0.5926$

$ˆ B = {sin}^{- 1} 0.5926 = {36.34}^{\circ}$ $hat B = sin ^-1 0.5926 = 36.34^@$

$ˆ C = 180 - 99 - 36.34 = {44.66}^{\circ}$ $hat C = 180 - 99 - 36.34 = 44.66^@$

$c = \frac{sin C \cdot a}{sin A} = \frac{2.5 \cdot sin 44.66}{sin 99} = 1.7792$ $c = (sin C * a) / sin A = (2.5 * sin 44.66) / sin 99 = 1.7792$

Related questions

See all questions in The Law of Sines

Impact of this question

1657 views around the world

You can reuse this answer
Creative Commons License