Question

A man from a village X on a bearing of 060 degree to a village Y which is 20km away.From Y,he travels to a village Z,on a bearing of 195 degree. If Z is directly east of X , calculate, correct to three significant figure the distance of Y from Z and Z from X​

Answer 1

Distance from Y to Z is 10.4 km and Z to X is 20 km

What is Distance?

Distance is a numerical measurement of how far apart objects or points are.

What is Triangle?

A triangle is a polygon with three edges and three vertices.

From the given data plot the graph,

Then,

∠XYZ=∠YZX=75 degrees

Therefore XY=XZ=20 km

$YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30$

YZ=10.4 km

Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km

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