Question

a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is 75 how far is the bottom of the ladder from the base of the building​

Answer 1

Explanation:

Take 20( cosine of 75 degrees)

the answer is 5 ft

Answer 2

5.18 feet

Step-by-step explanation:

We have been given that a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is 75 degrees.

We can see from the attachment that side with 20 feet is hypotenuse and side x is adjacent side to the angle 75 degrees.

`\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}`

Substitute the given values:

`\text{cos}(75^(\circ))=(x)/(20)`

`(x)/(20)=\text{cos}(75^(\circ))`

`(x)/(20)*20=20*\text{cos}(75^(\circ))`

`x=20*0.258819045103`

`x=5.1763809`

`x\approx 5.18`

Therefore, the bottom of the ladder is 5.18 feet away from the base of the building​.