Answer:
20 x 20 feet
Step-by-step explanation:
First I just drew out two squares, one was the first un-cut square and the second is the cut one. Since we know that the area of the smaller square is 144, and Area is just side^2 , we know that all the sides of the smaller square are 12. Now, all we have to do is add 8 to 12 to get the original lawn. The original lawn was a 20 x 20 ft lawn.
Applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.
<h3>How to Solve a Right Triangle Using Trigonometry Ratio</h3>
The Trigonometry Ratios are:
- SOH - sin∅ = opp/hyp.
- CAH - cos∅ = adj/hyp.
- TOA - tan∅ = opp/adj.
Thus, given:
∅ = 51°
hyp = 3
adj = x
cos 51 = x/3
x = (cos 51)(3)
x = 1.9
Thus, applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.
Learn more about Trigonometry Ratio on:
brainly.com/question/4326804



Plugging in the value "
" in the above expression, we have




<h3><u>Note</u>:-</h3>

P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
