To do this you need to work backwards. if you note the number as 'n' you can put
7n = 5600
to find n you simply divide both sides by 7 getting
n = 5600/7
n = 800
Answer: The ladder is 5.3 m long
Step by step solution
1. Draw out the scenario, ie a right triangle where the hypotenuse is the ladder, the wall is 4.5m and the angle the ladder and the ground makes 58 degree.
2. Soh, Cah, Toa
The wall is opposite, the ground is adjacent, and the ladder is hypotenuse
Sine (58) = 4.5/h
3. Solve for hypotenuse
h * sine (58) = 4.5
h = 4.5/sine (58)
h = ~ 5.3 m
So since we know what x is, we can substitute it into the original equation for x like so to solve for y...
(2y - 8) + 5y - 10 = 0
2y - 8 + 5y = 10
2y + 5y = 18
7y = 18
y = 18/7 (or about 2.57)
So now we know what x is, we can sub it into the below equation to solve for x...
x = 2(18/7) - 8
x = 36/14 - 8 (or about -5.43)
I answer . The white ones are better trust me, but u have to keep them keep clean!