Answer:
x= 1.87 m
Explanation:
We apply the concepts of trigonometry for a right triangle, where the length of the ladder is the hypotenuse of the triangle:
[tex]cos\beta = \frac{x}{h}[/tex] Formula (1)
Where:
β : angle that forms x with h
x : side adjacent to the angle
h: hypotenuse of the triangle
Problem development
Look at the attached graphic
In this case, the hypotenuse is equal to the length of the ladder and x is the horizontal distance from the bottom of the ladder to the building :
h= 7.00 m
β= 74.5°
We replace data in formula (1)
[tex]cos 74.5 = \frac{x}{7}[/tex]
x= 7* cos 74.5°
x= 1.87 m
