The horizontal distance from the wall to the base of the ladder is 6.3-foot and it can be determined by using trigonometric ratios.
Given that,
A 15-foot ladder leans against a wall and makes an angle of 65° with the ground.
We have to determine,
What is the horizontal distance from the wall to the base of the ladder?
According to the question,
Let, the horizontal length be x,
The length of the hypotenuse is 15-foot.
And the angle is 65 degrees.
Then,
The horizontal distance from the wall to the base of the ladder is,
[tex]\rm Cos\theta = \dfrac{Horizontal \ distance}{Perpendicular}\\\\Cos65 = \dfrac{x}{15}\\\\x = Cos65 \times 15\\\\x = 0.42 \times15\\\\x = 6.3 \ foot[/tex]
Hence, The horizontal distance from the wall to the base of the ladder is 6.3-foot.
To know more about Trigonometry click the link given below.
https://brainly.com/question/13710437
