A10 foot ladder rests against a brick wall at an angle of 65 degrees. what is the value of x to the nearest tenth of a foot?

Option C. The value of x is

Step-by-step explanation:

we know that

In the right triangle of the figure

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) =

Plugging the values

Cos(65) =  .

0.422 =   .

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 .

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