Question

A ladder is leaning against a building and makes 28 degree angle with the ground.

The top of the ladder reaches 35 ft. Up on the building. What is the length of the ladder? Round to the nearest foot.

Answer 1

To solve this problem you must apply the proccedure shown below:

1- You have that the laddder makes an angle of
`28 degrees` with the ground and the top of the ladder reaches
`35ft`.

2- Therefore, you have:

`Sin\alpha =(opposite)/(hypotenuse)`

Where:

`opposite=35\\ hypotenuse=length\\ \alpha =28degrees`

3-You must substitute values and solve for the lenght, as following:

`Sin(28)=(35)/(lenght) \\lenght=(35)/(Sin(28)) \\ lenght=75ft`

Therefore, the answer is:
`75ft`