Page 43 - Trigonometry
P. 43
(90 − ) + (90 − ) = 180 − ( + )
The separation between houses 2 and 4 is D, we know,
sin[180 − ( + )] sin( )
=
Make B the subject of the equation,
sin( )
=
sin[180 − ( + )]
The distance between houses 1 and 3,
sin( )
therefore,
sin( ) sin( )
1−3 =
sin[180 − ( + )]
The keystrokes for performing this calculation are,
CaQ(D)jQ(X))jQ(Y))Rj
180pJ(X)pJ(Y))
Ensure your calculator is in degrees mode, keystrokes
(q(SETUP)3). The angle between houses 2 & 1
o
and is 35 and the angle between houses 4 & 1 is 40
degrees, D = 177 km. What is the distance between
houses 1 & 3?
39
