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JUST HELP ME

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J and s are facing each other on opposite sides of a 10 m flagpole. From j pov the top of the pole is at an angle of elevation of 50 degree. From S pov is 35 degree. How far apart are j and S?

Guest Dec 15, 2017
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#1
+81022
+2

J and S are facing each other on opposite sides of a 10 m flagpole. From j pov the top of the pole is at an angle of elevation of 50 degree. From S pov is 35 degree. How far apart are j and S?

Note that, from J's point of view

tan (50)  = 10 / D1       where D1 is the distance J is from the pole

And from S's point of view

tan (35)  =  10 / D2        where D2  is the distance S is from the pole

So.....rearranging both......their distance apart is given by :

D1   +  D2  =

10/tan(50)   +  10/tan(35)    ≈  22.67 m

CPhill  Dec 15, 2017
#2
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I got a question... when do you know when to divide tan or when to bring the opposite or adjacent over to multiple? I'm confused on that and btw thanks

Guest Dec 15, 2017
#3
+81022
+2

Note that the tangent of an angle  is the opposite / adjacent

So.....consider the flagpole height the opposite side and the distance to the flagpole , D, is the adjacent side

So....

tan x  =   10  / D           multiply both sides by D

D *  tan x  =  10          divide both sides by tan x

D  = 10  / tan x

Does that make sense ??

CPhill  Dec 15, 2017
edited by CPhill  Dec 15, 2017
#4
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Not really

Guest Dec 15, 2017
#5
0

Okay so to find distance, we have to divide and to find length/height we have to multiple, correct?

Guest Dec 15, 2017
#6
+5931
+1

Maybe this will help:

The bottom of the flag pole is point  A .

In every right triangle,  tan(angle)  =  length of opposite side / length of adjacent side. So....

tan( 50° )  =  10 / JA          Solve this equation for  JA  to get:          JA  =  10 / tan( 50° )

tan( 35° )  =  10 / SA         Solve this equation for  SA  to get:          SA  =  10 / tan( 35° )

JS  =  JA + SA                  Plug in the values we just found for  JA  and  SA .

JS  =  10 / tan( 50° )  +  10 / tan( 35° )

JS  ≈  22.67  meters

------------------------------

when do you know when to divide tan or when to bring the opposite or adjacent over to multiple?

8  =   16 / x     To solve for  x  , first multilply both sides by  x .

8x  =  16         Then divide both sides by  8  .

x  =  2

Similarly....

tan x  =   10  / D     To solve for  D  , first multiply both sides by  D .

D * tan x  =  10       Then divide both sides by  tan x  .

D  =  10 / tan x

Remember that  tan x  is just a number.

hectictar  Dec 15, 2017
#7
+81022
+1

Thanks, hectictar  !!!!

CPhill  Dec 15, 2017

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