l 201 Lecture Course osias Homework 24 Homework Score 0 of 1

l 201 Lecture Course osias Homework: 2.4 Homework Score: 0 of 1 pt 2.4.13 1 of 13 (0 complete) HI Solve the right triange 966 m 20° 17 4 (Round to the nearest integer as needed.) am (Round to the nearest integer as needed) m (Round to the nearest integer as needed ) your answer in the edit fie t parts showing

Solution

We have given <C=90⁰ and <A=20⁰17\' ,c=966 m

converting minute into degrees 17\'=17/60 degrees= 0.2833333 degrees

<A=20⁰17\' =20.2833333 degrees

we know the sum of the angles of triangle is 180⁰

<B=180-(<C+<A)=180-(90+20.2833333)=69.7166667 degrees

<B=69⁰43\'

by using Law of sines sinB/b=sinC/c

b=csinB/sinC=966*(sin(69.7166667 degrees)/sin(90 degrees))=906.098160925

b=906 m

by using Law of sines sinA/a=sinC/c

a=c(sinA/sinC) =966*(sin(20.2833333 degrees)/sin(90 degrees))=334.876279793

a=335 m

B=69⁰43\'

a=335 m

b=906 m