Question

in triangle RST , m< R = 104 degrees,r=20 , and t= 10. find the m 13 years ago

Answer 1

drawing the triangle always helps; show me what you thing the triangle should look like

Answer 2

i dont exactly know how to do the triangle

Answer 3

i dont exactly know how to do the triangle

Answer 4

you just draw up a general triangle, and label the parts, like the other one i did for you. I need you to at least try to draw it ... i will correct it if there is an error.

Answer 5

okay

Answer 6

the angles should have been capitalized

Answer 7

thats perfect :) and yes, the angles should look different than the sides to help avoid confustion; now lets label what we know so that we can develop a plan for what we dont know

Answer 8

ok

Answer 9

we are working to find the measure of angle s

Answer 10

we can find T by the law of sines: and thereby find the S since we know T and R

Answer 11

how do we do that

Answer 12

\[\frac{sinT}{t}=\frac{sinR}{r}\]
\[sinT=\frac{t~sinR}{r}\]
\[T=sin^{-1}\left(\frac{t~sinR}{r}\right)\]

Answer 13

T= sin -^1 (10 (.9703)/20)

Answer 14

sorry i wwas having complications with the computer

Answer 15

that should simplify to something like: 29.02 degrees

Answer 16

after doing that i got
T= sin ^-1(.48515)

Answer 17

and then i got 29.0223 so round to the nearest degree would be 29

Answer 18

lets avoid rounding at this stage, we want to find angle S, this is just angle T

Answer 19

but t isnt what we were looking for so now we use the information and find the measure of angle s correct?

Answer 20

oh ok

Answer 21

R + T + S = 180

S = 180 - (R + T)
= 180 - (133.02)

Answer 22

46.98=S

Answer 23

yep, and rounded we get?

Answer 24

47

Answer 25

great job !

Answer 26

thank you i have difficulty with the law of sines