Question

A 10 ft. ladder is resting against the wall. The ladder touches the ground 6 ft. away from the wall. What angle, rounded to the nearest tenth, is the bottom of the ladder making with the ground?

Answer 1

For this case we have a rectangle triangle where the hypotenuse is 10 feet and the base is 6 feet. It is asked to find the angle that is formed between the base of the triangle and the hypotenuse, which we will call "x".

We know that:

`cosine (x) = \frac {leg \ adjacent} {hypotenuse}`

Substituting we have:

`cosine (x) = \frac {6} {10}\\cosine (x) = 0.6`

`x = cosine\ arc\ (0.6)\\x = 53.1301024`

Rounding off we have:

`x = 53.1`

Answer:

53.1 degrees

Option C