Question

Trigonometry Question, Law of Sines Picture How to do this?

Answer 1

this is gonna be a stupid question
but the length 110 ft is that whole leg right?

Answer 2

i believes the antenna on top of the hill so its only part

Answer 3

ok thanks

Answer 4

\[\sin(1.5)/110 = \sin(25)/x\]

Answer 5

the answer is 1600 ft according to the book i dont think thats right

Answer 6

that equation = 1776

Answer 7

I get 1589.326455

Answer 8

how? thats (110 x sin(25)) / sin1.5 or am I doing that wrong?

Answer 9

if you let y=length of the line to the top of the hill.

then y=x/sin(25)

also by the law of sines...sin(1.5)/110=sin(63.5)/y

solve for y gives y=[sin(63.5)/sin(1.5)]*110
[the 63.5 is 90-(25+1.5)]

now equate the two versions of y

x/sin(25)=[sin(63.5)/sin(1.5)]*110

so x=[sin(25)*sin(63.5)/sin(1.5)]*110

Answer 10

my x is the h in the problem

Answer 11

how did you know to do 90-26.5

Answer 12

the sum of the angles is 180deg ...we already have a right angle so the other two angles must add to 90

Answer 13

hard to download into my brain xD

Answer 14

I did it a 2nd way without the law of sines

\[\frac{110+h}{\tan(26.5)}=\frac{x}{\tan(25)}\]

now solve for \[x\]

this just uses the fact that tangent is opp/adj two times

Answer 15

hm thanks a bunch ill will study this

Answer 16

oops...the x's should be h's

Answer 17

Nice to see degrees instead of radians for a change:-)

Answer 18

I like radians better, but I figured I'd stick to what the problem has given.

Answer 19

1.5 degrees in radians?

Answer 20

why not :)