A surveyor is trying to find the length of a lake. He finds a baseline distance AB of 125 m. Angle A is measured to be 41.6° and angle B is measured at 124.3°. Find the length of the lake d. Please and Thank you.
Answers
Answer:
[tex]d = 340.7m[/tex]
Step-by-step explanation:
See attachment for question illustration
From the attachment, we have:
[tex]AB = 125m[/tex]
[tex]<A = 41.6[/tex]
[tex]<B = 124.3[/tex]
Required
Solve d
First, we need to calculate <C
[tex]<A + <B + <C = 180[/tex] --- angles in a triangle
[tex]41.6+ 124.3 + <C = 180[/tex]
[tex]165.9+ <C = 180[/tex]
Make <C the subject
[tex]<C = 180 - 165.9[/tex]
[tex]<C = 14.1[/tex]
Next, we apply Sine's law to solve for d
[tex]\frac{A}{Sin\ A} = \frac{B}{Sin\ B} =\frac{C}{Sin\ C}[/tex]
In this case:
[tex]\frac{d}{Sin\ 41.6} = \frac{125}{Sin\ 14.1}[/tex]
Make d the subject
[tex]d = \frac{125 * sin\ 41.6}{sin 14.1}[/tex]
[tex]d = \frac{125 * 0.66392621265}{0.24361501178}[/tex]
[tex]d = \frac{82.9907765812}{0.24361501178}[/tex]
[tex]d = 340.663639629[/tex]
[tex]d = 340.7m[/tex]
Hence, the base of the lake is approximately 340.7m
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Answers
Answer: V = 311.0
Step-by-step explanation:
Formula: [tex]V = \pi r^2h[/tex]
[tex]V=\pi (3)^2 (11)[/tex]
[tex]V=99\pi[/tex]
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Answer:
Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.
Step-by-step explanation:
Hope this helps!!!
Answer:
For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.
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Step-by-step explanation:
Robert pays $32.04 for 6 student tickets to the basketball game. What is the cost of each student ticket?
Answers
Answer:
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Step-by-step explanation:
Step-by-step explanation:
$5.34
hope it helps!
......
15
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Answers
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Step-by-step explanation
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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b) 10
c) 4
d) 3
Answers
Answer:
the answer is 4 (option C)
Step-by-step explanation:
Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.
therefore, the equation forms:
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13x = 55 - 3
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11/10
10/9
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Answers
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Answers
3^3 = 27
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We have equation:
x³ = 27
Taking cube root both side
∛x³ = ∛27
x = ∛27
x = 3
Thus, the x = ∛27 and x = 3 are solution to the equation x³=27 option (B) and option (C) are correct.
Learn more about the cube root here:
brainly.com/question/12726345
#SPJ2
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The easy way to do it is Just divide 360 from 5 because that’s the amount of times you turn it ...
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Answers
Answer:
The answer is (-3X+6i)(x+2i)
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
B, D.
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Answers
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A
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
lets remove the parenthesis
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
in the picture, y and 82 are supplementary angles because the are same side interior angles. This means that we can create this equation:
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we get y = 98
<Y and <4z + 14 are vertical angles, so we can also say that they are equal to each other. So we can create this equation:
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subtract 14 from both sides:
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divide both side by 4 to find z:
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Answer:
y = 82
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Step-by-step explanation:
You can get y almost immediately.
82 and y are supplementary. Interior angles on the same side of the transversal = 180
82 + y = 180 Subtract 82 from both sides
y = 180 - 82
y = 98
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98-14 = 4z
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Answers
Step-by-step explanation:
45% of number = 180
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C.7(6+12)
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Answers
6*7=42 and
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Answer:
B
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Given
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HAVE A NICE DAY
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Answers
Answer:
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Step-by-step explanation:
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Please help if possible due today thank you so so much!!
10points!❤️❤️❤️
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Answers
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Which expressions are equivalent to 4(4a + 5) ?
Choose 3 answers:
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© 16a +5+4
Answers
Answer:
16a + 20
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Step-by-step explanation:
ERGENT! DUE TODAY! What is the equation in point-slope form of the line that passes through the point (3,-2) and has a slope of 2/3?
(look at image)
Answers
Answer:
y = 2/3x - 4
Step-by-step explanation:
Which of the following polnts is a solution of the Inequality y<-|x|?
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Answers
Answer:
(1,-2)
Step-by-step explanation:
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by sub.
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Help please help I’ll give brainliest
Answers
Answer:
108
Step-by-step explanation:
======================================
Explanation:
Rotate the arrow so that it is pointing up.
Draw a line separating the arrow into a triangle up top and a rectangle below that.
The rectangular portion has area of 6*4 = 24 square units.
-----------------
The triangular portion up to has area of
0.5*(base)*(height) = 0.5*(4+4+4)*(15-6) = 54
The base is 4+4+4 due to the '4's along the bottom of the triangle. The middle 4 might be the trickiest to spot, but keep in mind that rectangles have opposite sides that are the same length.
The height of the triangle is 15-6 since we start with an overall height of 15, and then subtract off 6 (which was the height of the rectangle).
-----------------
Once you know the areas of the triangle and rectangle, you add them up to get 54+24 = 78 square units.
The value 14 along the diagonal portions of the triangle isn't used. This information is probably put in to distract or trick students. However, if you needed to find the perimeter, then you will use the 14's.