Question

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

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:

$Sin\alpha =\frac{opposite}{hypotenuse}$

Where:

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

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

$Sin(28)=\frac{35}{lenght} \\lenght=\frac{35}{Sin(28)} \\ lenght=75ft$

Therefore, the answer is: $75ft$