Question

The top of a 22-foot ladder rests against the top of an 18-foot wall. If the base of the ladder is on the same ground level as that of wall, what angle does the ladder form with the ground? Express your solution to the nearest degree.

Answer 1

use the sine ratio here:- sin = opposite / hypotenuse so
sin A = 18/22

A = 54.9 degrees

55 to nearest degree

Answer 2

Explanation:

Given that The top of a 22-foot ladder rests against the top of an 18-foot wall.

The ladder, the wall and the floor together make a right angled triangle with hypotenuse as ladder.

Thus we have a right triangle with hypotenuse = 22 ft

and the side of the wall = 18

The required angle is the angle the ladder form with the ground.

Hence we have if x is the angle

`sin x =(Opposite)/(Hypotenuse) =(18)/(22)`

From this we can find the angle X

X = sin inverse of 18/22

X=54.9

Round it off to X=55 degrees