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A ladder needs to reach a second-story window that is 15 feet above the ground and make an angle with
the ground of 66°. How far out from the building does the base of the ladder need to be positioned?
Round your answer to the nearest tenth.
The base of the ladder needs to be feet away from the wall.

A ladder needs to reach a secondstory window that is 15 feet above the ground and make an angle with the ground of 66 How far out from the building does the bas class=

Respuesta :

mhanifa

Answer:

  • 6.7 ft

Step-by-step explanation:

Given:

  • Vertical distance = 15 ft
  • Horizontal distance = x
  • Angle with ground = 66°

Use tangent to solve:

  • tan 66° = 15/x
  • x = 15 / tan 66°
  • x = 6.7 ft (rounded)
msm555

Answer:

Solution given:

In right angled triangle ABC

relationship between perpendicular and base is given by tan angle

tan66°=15/AB

AB=15/tan66°=6.678 ft is your answer.

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