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malfutka [58]
3 years ago
5

A streetlamp has a 20 ft shadow that makes a 40° angle with the ground. which expression represents the height of the street lam

p in feet ?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0

Answer:

  • 20 sin 40°  ≈ 12.86 ft

Step-by-step explanation:

Let the height of the street lamp be x

Opposite angle is 40° and the shadow, the hypotenuse of the formed triangle is 20 ft.

  • sin 40° = x/20
  • x = 20sin 40°
  • x ≈ 12.86 ft
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