Question

Solve Trianle ABC

Answer 1

pls help me

Answer 2

HI!!

Answer 3

hello

Answer 4

is this a bunch of different questions? do you have a calculator?

Answer 5

yes i have a calculator

Answer 6

ok lets do the first one
they all involve trig and inverse trig functions

Answer 7

ok

Answer 8

you have \(A=50^\circ, a=14\)

Answer 9

to find \(b\) you know \[\tan(50^\circ)=\frac{14}{b}\] since it is "opposite over adjacent"
solve for \(b\) via \[b=14\times \tan(50^\circ)\]

Answer 10

also, since the total degrees of the angles is \(180^\circ\) and \(A=50,C=90\) you know \(B=40\)

Answer 11

oh ok

Answer 12

\[A=50\\
B=40\\
C=90\\
a=14\\
b=16.7\] all that is left is \(c\)

Answer 13

you can use trig or pythagoras, either way \[c=\sqrt{14^2+16.7^2}\] or \[\sin(50)=\frac{14}{c}\] so \[c=\frac{14}{\sin(50)}\]

Answer 14

i got 18.2