Question

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.

Answer 1

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.

Answer 2

• 6.7 ft

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)