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Points A and B are on opposite sides of the Grand Canyon. Point C is 200 yards from A. Angle B
measures 87° and angle C measures 67º. What is the distance between A and B? Round answer to
nearest tenth.

Answer :

Answer:

AB = 184.4 yards

Step-by-step explanation:

The description here gives a triangle with two angles and a side. Let the distance between A and B be represented by d. Thus applying the Sine rule, we have;

[tex]\frac{a}{Sin A}[/tex] = [tex]\frac{b}{Sin B}[/tex]

[tex]\frac{200}{Sin 87}[/tex] = [tex]\frac{d}{Sin 67}[/tex]

d = [tex]\frac{200*Sin 67}{Sin 87}[/tex]

  = [tex]\frac{200*0.9205}{0.99863}[/tex]

d = 184.3526

Thus, the distance between points A and B is 184.4 yards

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