Answer
Find out the length of the pole .
To proof
As given
The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation.
x represented the length of pole .
As shown in the diagram
By using the trignometric identity
tan40° = 0.839099631 ( approx )
Put in the above
x = 12 × 0.839099631
x = 10.1 foot (approx)
Therefore the length of the pole in 10.1 foot (approx) .
Since you did not provide options for what 80
x could be equivalent to,, it is near to impossible to answer this question fully. I will simplify 80
x for you and then when you can provide the options for me,, I could help you find the answer if you need it.
To simplify this you must reduce the numbers with 4 in order to find your final answer.
20x.
This means that the correct answer to your question is 20x.
Let me know if you have any further questions.
:)
Answer:
<h2>
$400</h2>
Step-by-step explanation:
Using the formula for calculating the simple interest expressed as;
Simple Interest = Principal * rate * time/100
Note that the principal is the amount he originally borrowed
I = PRT/100 ............ 1
Amount paid off A = Principal+Interest
A = P+I ............ 2
From equation 2; I = A-P......... 3
Substitute equation 3 into 1;
A-P = PRT/100
Given A = $440, R = 10%, Time = 1year
Substitute the given parameters into the resulting equation;
440 - P = P*10*1/100
440-P = 10P/100
440-P = 0.1P
440 = 0.1P+P
440 = 1.1P
Divide through by 1.1;
1.1P/1.1 = 440/1.1
P = $400
<em>Hence the amount Mr Noel originally borrow is $400</em>
The answer is angle JKL is 54 degrees
A = l*w
6112 = l*28
l = 6112/28
l = 218.2857143
