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marta [7]
3 years ago
8

4. A plane at an altitude of 10,000 feet is approaching an island. At a given moment, the angle of depression to the near side o

f the island is 56° and the angle of depression to the far side of the island is 24º. Determine the length of the island, in miles, as seen in the figure below. (8 points) Show all of your work, using correct mathematical notation, on a different piece of paper Answer the question in a complete sentence. Clearly define all of your variables. You may define your variables by labeling the picture or drawing appropriately. The abbreviations opp, adj, and hyp may not be used as variables.
​

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

Answer:

The angle of depression calculator. How to find the angle of depression?

Since we now know what the angle of depression is, let's learn how to find it! We can determine the angle of depression using surveying equipment like an engineer's transit or a clinometer. These devices are optical instruments that have angle-measurement features and can instantly give us the angle that we need. However, we can also use mathematics to find the angle of depression. But first, we need to know two distances: the horizontal distance between the viewer and the object, and their vertical distance, as shown in the illustration below:

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10. Find the values of x, y, and z in the diagram below.
Anna [14]
X = 180 - 104 - 22 = 180 - 126 = 54 degrees

y = 180 - 54 = 126 degrees

z = 180 - 126 - 19  = 180 - 145  = 35 degrees
6 0
3 years ago
Why are there two solutions for the equation |6 + y| = 2? Explain.
GaryK [48]

Solution, \left|6+y\right|=2\quad :\quad y=-8\quad \mathrm{or}\quad \:y=-4

Steps:

|f\left(y\right)|=a\quad \Rightarrow \:f\left(y\right)=-a\quad \mathrm{or}\quad \:f\left(y\right)=a, 6+y=-2\quad \quad \mathrm{or}\quad \:\quad \:6+y=2

6+y=-2\quad :\quad y=-8,\\6+y=-2,\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}, 6+y-6=-2-6,\\\mathrm{Simplify}, y=-8

6+y=2\quad :\quad y=-4,\\6+y=2,\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides},6+y-6=2-6\\\mathrm{Simplify},y=-4

\mathrm{Combine\:the\:ranges}, y=-8\quad \mathrm{or}\quad \:y=-4

\mathrm{The\:Correct\:Answer\:is\:Because\:of\:the\:absolute\:value,\:It\:could\:be\:Positive\:or\:negative.}

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

7 0
4 years ago
Please Help!! Emergency!!! 100 Points!!!!!!!!
taurus [48]

Answer:

98cm^3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can someone help me thanks you get 15 points!
d1i1m1o1n [39]
Letter D is the answer
3 0
3 years ago
Read 2 more answers
3/7 x+5=8 solve the equation
yKpoI14uk [10]

Answer :

x = 7

Solution :

3/7 x + 5 = 8

3/7 x = 8 - 5

3/7 x = 3 | * 7

3x = 21 | : 3

x = 7

3 0
4 years ago
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