Using the slope concept, it is found that the distance from point A to point B is of 465 feet.
<h3>What is a slope?</h3>
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
To find the horizontal position at point A, we have that:
tan(10º) = 107/dA
dA = 107/tan(10º)
dA = 607.
For the horizontal position at point B, we have that:
tan(37º) = 107/dB
dB = 107/tan(37º)
dB = 142.
Hence the distance is given by:
D = dA - dB = 607 - 142 = 465.
More can be learned about the slope concept at brainly.com/question/18090623
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Answer:
Yes.
Step-by-step explanation:
The solution is n= <u>+</u> 4i/√11
Step-by-step explanation:
step 1: 10n^2+n^2+16=0
step 2: 11n^2+16=0
step 3: 11n^2= -16
step 4: n^2= -16/11
step 5: taking square root on both sides,
n= √(-16)/√11 (square root of a negative number is a <u>complex term</u> 'i')
n= <u>+</u> 4i/√11
The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.
Step-by-step explanation:
The given are,
From ΔABC,
AB= 6
BC= 10
AC = x
From ΔDEC,
CD= 28
DE= 21
CE = y
Step:1
Pythagoras theorem from ΔABC,
...............(1)
Substitute the values,
= 
+ 
100 = 36 +
= 100 - 36
= 64
AC = 
AC = 8
AC = x = 8
Step:2
Pythagoras theorem for ΔDEC,
................(2)
From the values,
= 
+ 
= 784 + 441
= 1225
CE = 
CE = 35
CE = y = 35
Result:
The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.
If you have supplementary angles, that means that the angles have to add up to 180°. So x+(x+8)=180° So I would combine like terms 2x+8=180 Now subtract by 8 on both sides which gives me 2x=172 now divide by 2 and x equals 86°! I hoped this helped you!
