A ten foot long ladder leans against a wall, with the top of the ladder being eight feet above the ground. What is the approximate angle that the ladder makes with the ground?
so we got hypotenuse and opposite side so to find the angle we use the trig function
sin = opposite/hypotenuse
¢=angle
sin¢=8/10
sin¢= 0.8
arcsin¢=arcsin(0.8)
¢= 53.13 degrees
Answer:
The angle that the ladder made with the ground = 53.13010235°
Step-by-step explanation:
The ladder has a length of 10 ft and it leaned against a wall to form a right angle triangle. The height from the top of the ladder to the ground is given as 8 ft. The triangle formed from the illustration can be represented with the picture below.
The angle A is the angle the ladder made with the ground.
Length of ladder = c
height from the top of the ladder to the ground = a
The distance of the foot of the ladder and the wall = b
c = 10 ft
a = 8 ft
Using SOHCAHTOA
sin A = a/c
sin A = 8/10
sin A = 0.8
A = sin-1 0.8
A = 53.13010235°