Answer:
C ) x = 4.2 feet .
Step-by-step explanation:
Given : A 10 foot ladder rests against a brick wall at an angle of 65 degrees.
To find : What is the value of x to the nearest tenth of a foot.
Solution : We have given a triangle with angle 65 degree and
hypotenuse = 10 feet .
By the trigonometric ration
Cos(Ф) = [tex]\frac{adjecent}{hypotenuse}[/tex]
Plugging the values
Cos(65) = [tex]\frac{x}{10}[/tex].
0.422 = [tex]\frac{x}{10}[/tex].
On multiplying by 10 both sides
0.422 * 10 = x
4.22 = x
x = 4.22
x = 4.2 feet ( nearest tenth ).
Therefore, C ) x = 4.2 feet .
