3 years ago

Wake up to reality

Mathematics

1 answer:

Sphinxa [80]3 years ago

6 0

Answer:

What do I answer?.......

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Step-by-step explanation:

Given:

$Points (Y, X) \\\\F (flagpole)\ make\ a \ triangle$

Draw Y and X triangles on the underside, and F above them.

Because F is $18^{\circ}$ west from X, so FXY angle measurement $FXY = 72^{\circ}$ from X because F is located $40^{\circ}$ east of north from Y, then

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the measure of angle $YFX = 58^{\circ}$ $(3 \angle \ of\ triangle = 180^{\circ})$

Using Law of Sines: $\frac{\sine 58^{\circ}}{34} = \frac{\sine 72^{\circ}}{YF}$

Cross Multiply:

$YF (\sin 58^{\circ}) = 34(\sin 72^{\circ})\\\\$

$YF = \frac{34 \sin 72^{\circ}}{\sin 58^{\circ}}\\\\ YF = \frac{34(.951)}{(.848)}\\\\ YF = 38.130$

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