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

Answer:

Step-by-step explanation:

Take 20( cosine of 75 degrees)

the answer is 5 ft

Answer 2

Answer:

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:

$\text{cos}(75^{\circ})=\frac{x}{20}$

$\frac{x}{20}=\text{cos}(75^{\circ})$

$\frac{x}{20}*20=20*\text{cos}(75^{\circ})$

$x=20*0.258819045103$

$x=5.1763809$

$x\approx 5.18$

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