Question

A 12-foot ladder is placed 4 feet away from a house as shown.

A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.

What is the value of x, rounded to the nearest degree?

x ≈
°

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

Is this ladder being used safely?

Answer 1

#1.

cos(x) = adjacent/hypotenuse = 4/12 ≈ 0.3333 ⇒ x ≈ 71°

#2

71° is between 70° and 75°, so the answer is yes, the ladder being used safely.

Explanation:

Answer 2

71

yes

Explanation:

Just did it, have a good day!