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

Respuesta :

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