Respuesta :
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
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°
