Draw a diagram. You know two sides and the included angle.
use the law of cosines.
A tree is on bearing s 36° w from a point x and s 78°w from a point y. If x is 200m due east of y . calculate the distance of the tree from y to the nearest metre
2 answers
In triangle XYT
<XYT=90-78=12
<YXT=90-36=54
<YTX=180-(12+54)=114(SUM OF ANGLES IN A TRIANGLE)
USING SINE RULE,
|YT|/Sin54=200/sin114
-|YT|=(200×sin 54)/sin 114
ANSWER:|YT|=177m
<XYT=90-78=12
<YXT=90-36=54
<YTX=180-(12+54)=114(SUM OF ANGLES IN A TRIANGLE)
USING SINE RULE,
|YT|/Sin54=200/sin114
-|YT|=(200×sin 54)/sin 114
ANSWER:|YT|=177m
2 answers