Question

A twelve foot long ladder leans against a building. If the ladder makes an angle of 60° with the ground. How far up the wall does the ladder reach? (Round to the nearest tenth).

Answer 1

The ladder reaches approximately 10.4 feet up the wall.

Step-by-step explanation:

To find how far up the wall the ladder reaches, we can use trigonometry. In this case, the ladder forms a right triangle with the ground and the wall. The hypotenuse of the triangle is the length of the ladder, which is 12 feet. The angle between the ladder and the ground is 60°.

We can use the sine function to find the length of the side opposite the angle, which represents how far up the wall the ladder reaches. The equation is: sin(60°) = opposite / hypotenuse. Rearranging the equation gives us: opposite = sin(60°) * hypotenuse. Plugging the values in, we get: opposite = sin(60°) * 12. Solving this, we find that the ladder reaches approximately 10.4 feet up the wall.