224k views
5 votes
A ladder rests against a wall, the foot being 1.5m from the wall and the top being 4m above the ground. Find the angle which the ladder makes with the ground.

User Wis
by
8.0k points

1 Answer

2 votes

Final answer:

The angle that the ladder makes with the ground is approximately 72.3 degrees.

Step-by-step explanation:

To find the angle that the ladder makes with the ground, we can use trigonometry. We have a right triangle formed by the ladder, the wall, and the ground. The height of the triangle is 4m and the base is 1.5m. To find the angle, we can use the inverse tangent function (tan-1). So, the angle θ is equal to tan-1(4/1.5).

Using a calculator, we get θ ≈ 72.3°.

Therefore, the angle that the ladder makes with the ground is approximately 72.3 degrees.

User Ricardo Pietrobon
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories