Respuesta :

Answer:

x = 466.7 feet

Step-by-step explanation:

Finding the top angle of the triangle :

  • They are complementary
  • 90° - 31°
  • 59°

Take the tan value of this angle to find y :

  • tan 59° = 400/y
  • 1.66427948 =400/y
  • y = 400 / 1.66427948
  • y = 240.344248

Using Pythagorean Theorem to find x :

  • y² + 400² = x²
  • x = √(240.344248)² + 160000
  • x = √57765.3575 + 160000
  • x = √217765.357
  • x = 466.7 feet (nearest tenth)

Angle of elevation remains same as they are alternative angles

  • cosØ=Base/Hypotenuse
  • cos31=400/x
  • x=400/cos31
  • x=466.65ft

Find y

  • tanØ=Perpendicular/Base
  • tan31=y/400
  • y=400tan31
  • y=240.34ft

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