Tammy is an electrician. When using a ladder, her company requires the angle formed between the ground and the ladder to be within 3° of 75° so that she remains safe. If she is using a 20-foot ladder and places the ladder 5 feet from the wall, is this within safety protocol? What is the approximate angle formed between the ground and the ladder?(1 point) Responses Yes, the angle formed is approximately 73°. Yes, the angle formed is approximately 73°. Yes, the angle formed is approximately 76°. Yes, the angle formed is approximately 76°. No, the angle formed is approximately 90°. No, the angle formed is approximately 90°. No, the angle formed is approximately 14°.
To determine the approximate angle formed between the ground and the ladder, we can use the trigonometric function tangent.
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
In this case, the length of the opposite side is 5 feet (since the ladder is placed 5 feet from the wall) and the length of the adjacent side is 20 feet (the length of the ladder).
Therefore, the tangent of the angle formed is:
tan(θ) = 5/20
Simplifying this fraction gives:
tan(θ) = 1/4
To find the angle itself, we can take the inverse tangent of 1/4:
θ = arctan(1/4) ≈ 14°
So, the approximate angle formed between the ground and the ladder is approximately 14°.
However, since the safety protocol requires the angle to be within 3° of 75°, which is not the case here, the ladder placement is not within safety protocol.
Therefore, the correct answer is:
No, the angle formed is approximately 14°.