5(m+2)=20
First you divide by 5 on both sides
So it would be
M+2=4
Then you subtract 2 from 4
So it would be m=4-2
M=2
The angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
- A cell phone tower that is 70 meters tall is built on level ground and casts a shadow 230 meters long at a particular moment.
The angle of elevation will be calculated by applying trigonometric property in the triangle given below;-
= tan(0.3043)
= 16.9
Therefore angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.
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Answer:
The message is S E C R E T A G E N T M A N
Step-by-step explanation:
This is a very easy exercise, follow the steps taken below:
Step 1: Find
Note that If
then
Therefore,
Step 2: Find A⁻¹B ( i.e product of A and B)
Step 3: Decode the message in the matrix above
The message will be decoded in this order:
Note that 0 stands for empty space
19 5 3 18 5 20 0 1 7 5 14 20 0 13 1 14
S E C R E T A G E N T M A N
The message encoded is: S E C R E T A G E N T M A N
The answer to the question is a
Step-by-step explanation:
<h3><u>Given</u><u>:</u><u>-</u></h3>
(√3+√2)/(√3-√2)
<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>
<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>
<h3><u>Solution</u><u>:</u><u>-</u></h3>
We have,
(√3+√2)/(√3-√2)
The denominator = √3-√2
The Rationalising factor of √3-√2 is √3+√2
On Rationalising the denominator then
=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]
=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]
=>(√3+√2)²/[(√3-√2)(√3+√2)]
=> (√3+√2)²/[(√3)²-(√2)²]
Since (a+b)(a-b) = a²-b²
Where , a = √3 and b = √2
=> (√3+√2)²/(3-2)
=> (√3-√2)²/1
=> (√3+√2)²
=> (√3)²+2(√3)(√2)+(√2)²
Since , (a+b)² = a²+2ab+b²
Where , a = √3 and b = √2
=> 3+2√6+2
=> 5+2√6
<h3><u>Answer:-</u></h3>
The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.
<h3>
<u>Used formulae:-</u></h3>
→ (a+b)² = a²+2ab+b²
→ (a-b)² = a²-2ab+b²
→ (a+b)(a-b) = a²-b²
→ The Rationalising factor of √a-√b is √a+√b