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aliya0001 [1]
3 years ago
12

a pilot can see the runway she is about to land on directly ahead. When looking at each end of the runway the angles of depressi

on are 45 degrees and 42 degrees. If the airplane is 1500 ft off the ground, how long is the runway?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0
We develop two different right triangles in which the opposite side to the given angle of depression is 1500 ft and the length of the runway is the y.
                (45°) -->       tan (45°) = 1500 ft / y₁  
                                                     y₁ = 1500 ft
                (42⁰) -->        tan (42⁰) = 1500 ft / y₂
                                                      y₂ = 1665.92 ft
Finding the difference between two y's, the answer would be 165.92 ft. 
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The <em>correct answer</em> is:


Her number is 7.


Explanation:


Let x represent her number.


She triples her number; this is represented by 3x.


She then adds 5 to this; this gives us 3x+5.


She gets 26 aas her answer. This gives us the equation:

3x+5 = 26


To solve this, first subtract 5 from each side:


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Find the slope of the line that passes through (40,3000) and (60, 4000).
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Answer:

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General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

Point (40, 3000)

Point (60, 4000)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{4000-3000}{60-40}
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What is 30% of 70. show your work<br>​
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we have two simple equations:

1) 70=100%

2) x=30%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

70/x=100%/30%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 30% of 70

70/x=100/30

(70/x)*x=(100/30)*x - we multiply both sides of the equation by

70=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x

70/3.33333333333=x

The fore, the answer is 21

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