Answer:
The ladder from the base of the building is 5.18 ft (Approx)
Step-by-step explanation:
As given
A ladder that is 20 ft. Long is leaning against the side of a building.
If the angle formed between the ladder and the ground is 75.
Now using the trignometric property .
[tex]cos\theta = \frac{Base}{Hypotenuse}[/tex]
As shown in the figure.
[tex]\theta = 75^{\circ}[/tex]
Base = CB
Hypotenuse = AC = 20 ft.
Put in the trignometric identity .
[tex]cos75^{\circ} = \frac{CB}{AC}[/tex]
[tex]cos75^{\circ} = \frac{CB}{20}[/tex]
[tex]cos\ 75^{\circ} = 0.259[/tex]
Put in the above
[tex] 0.259= \frac{CB}{20}[/tex]
[tex]0.259 = \frac{CB}{20}[/tex]
CB = 0.259 × 20
CB = 5.18 ft (Approx)
Therefore the ladder from the base of the building is 5.18 ft (Approx) .
