Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )
20 × tan40° = opp , thus
opp = 20 × 0.839 ≈ 16.78 , then
height of traffic light = 16,78 + 5 = 21.78 ft
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Using the tangent ratio in the right triangle
tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )
Multiply both sides by d
d × tan42.71° = 150 ( divide both sides by tan42.71° )
d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m
