Answer:
x ≈ 25.4 Km
Step-by-step explanation:
Using the tangent ratio in the right triangle on the right
tan54° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{17}[/tex] ( multiply both sides by 17 )
17 × tan54° = opp , thus
opp ≈ 23.4
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Using the cosine ratio in the right triangle on the left
cos23° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{23.4}{x}[/tex] ( multiply both sides by x )
x × cos23° = 23.4 ( divide both sides by cos23° )
x = [tex]\frac{23.4}{cos23}[/tex] ≈ 25. 4 Km ( to the nearest tenth )
