Question

a 10 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?

Answer 1

C ) x = 4.2 feet .

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) =
`(adjecent)/(hypotenuse)`

Plugging the values

Cos(65) =
`(x)/(10)`.

0.422 =
`(x)/(10)`.

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 .

Answer 2

Option C. The value of x is
`4.2\ ft`

Explanation:

we know that

In the right triangle of the figure

`cos(65\°)=(x)/(10) \\ \\ x=10cos(65\°)\\ \\x= 4.2\ ft`