melissanacole melissanacole
  • 16-03-2020
  • Mathematics
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What is the length of the missing side FP? Round answer to the nearest tenth.

What is the length of the missing side FP Round answer to the nearest tenth class=

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Favouredlyf Favouredlyf
  • 16-03-2020

Answer:

Step-by-step explanation:

Considering the given triangle KFP, to determine FP, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

FP/SinK = FK/SinP = KP/SinF

Therefore

FP/Sin 49 = 66/Sin 85

Cross multiplying, it becomes

FPSin85 = 66Sin49

0.996FP = 45 × 0.7547

0.996FP = 33.9615

FP = 33.9615/0.996

FP = 34.1

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