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
Answer:
40 %
Step-by-step explanation:
30/85 = .4
.4 × 100 = 40 %
So you know that 30 + 30 + w + w = P. We also know the area is 240 square feet. Divide 240 by 30 to find the width of the area. 240 / 30 = 8. w = 8. So add 30 + 30 + 8 + 8 to find that P = 76. HOWEVER, remember that George is using part of his house as a wall instead of a fence. So subtract 8 from 76 to get 68 ft. George will need 68 ft. of fencing for his dog run.

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Answer:
General solution is

Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given cos x - sin x = √2 cos (3 x)
Dividing '√2' on both sides , we get

we will use trigonometry formulas
a) Cos ( A + B) = Cos A Cos B - sin A sin B
b) 
<u><em>Step(ii):-</em></u>
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<u><em>Step(iii):-</em></u>
<u><em>General solution of cos x = cos ∝ is x = 2 nπ+∝</em></u>
<u><em>we have </em></u> 
The general solution of
is
⇒ 
⇒ 

<em><u>final answer</u></em>:-
General solution is
