SOLUTION: Angle S is the right angle. Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places. Given: right △RST with

Algebra ->  Formulas -> SOLUTION: Angle S is the right angle. Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places. Given: right △RST with      Log On


   

Question 1193689: Angle S is the right angle. Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places.
Given: right △RST with
RT = 8radical 2
and m∠
STV = 150°
Find: RS and ST
simplest radical form RS =

approximation RS =
simplest radical form ST =

approximation ST =
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given:
right △ RST with
RT=8sqrt%282%29

if angle STV+=+150° => angle RTS=180-150=30°

use law of sin and cos to find RS and ST

sin%2830%29=RS%2F%288sqrt%282%29%29
RS=sin%2830%29%2A%288sqrt%282%29%29
RS=4sqrt%282%29
RS=5.66 approximately


cos%2830%29=ST%2F%288sqrt%282%29%29
ST=cos%2830%29%2A%288sqrt%282%29%29
ST=4sqrt%286%29
ST=9.79+approximately