Point X is 34m due east of a point Y the bearings of a flagpole from and Y are N18°W and N40°E respectively. Calculate the dista
nce of the flagpole from Y
1 answer:
Answer:
Step-by-step explanation:
The diagram representing the scenario is shown in the attached photo. Triangle FXY is formed with F representing the flagpole.
The sum of the angles in a triangle is 180
Angle F = 180 - (50 + 72) = 58°
We want to determine FY, the distance of the flagpole from Y. We would apply the sine rule which is expressed as
a/Sine A = b/SinB = c/SinC
Likening it to the given triangle, it becomes
FY/Sin72 = 34/Sin 58
Cross multiplying, it becomes
FYSin58 = 34Sin72
FY = 34Sin72/Sin58
FY = 34 × 0.951/0.848
FY = 38.13m
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Answer:
Step-by-step explanation:
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where: (
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