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marta [7]
2 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]2 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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In the past year Jenny watched 44 movies that she thought were very good. She watched 55 movies over the whole year. Of the movi
igomit [66]

To solve this problem, we must divide the number of movies that Jenny thought were very good by the total number of movies she watched. This is because we are finding a percentage, which represents a part out of a whole that have a factor, which in this case is very good movies. First, we begin by dividing 44/55. Then, we realize that both the numerator and the denominator are divisible by 11, so if we divided them both by 11 that would simplify the fraction.

44/55 = 44/11 / 55/11 = 4/5

Next, we can now easily divide our simplified fraction.

4/5 = 0.8

Finally, we must multiply by 100, because a percentage is a portion of 100 (the total is 100%). This is equivalent to moving the decimal point two places to the right.

0.8 * 100 = 80%

Therefore, Jenny thinks that 80% of the movies she watched this year were very good.

Hope this helps!

7 0
3 years ago
Given y = a(x - h)^2 + k, p = <br> A. a <br> B. 4a <br> C. 1/4a
Flauer [41]

9514 1404 393

Answer:

  C.  1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

  y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

  y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

  a = 1/(4p)

  p = 1/(4a) . . . . . . multiply by p/a; matches choice C

__

<em>Additional comment</em>

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

  p=\dfrac{1}{4a}

8 0
3 years ago
The length of a rectangle solid is 3.0 m the width is 0.6 meter, and the height is 0.4 meter. Find, to the nearest tenth, the nu
Ad libitum [116K]

Answer:

0.72\,\,m^3

Step-by-step explanation:

Given:

Length of a rectangle solid = 3 m

Width of a rectangle solid = 0.6 m

Height of a rectangle solid = 0.4 m

To find: Volume of the solid

Solution:

Volume of the solid = length × breadth × height

=3\times 0.6\times 0.4=0.72\,\,m^3

So, the number of cubic meters in the volume of the solid is 0.72\,\,m^3

3 0
3 years ago
Given that a:b:c= 20 : 35 : 15, a) simplify a : b:c, b) find a:b,
Furkat [3]

Answer:

a) 4:7:3

b) 4:7 / 20:35

c) 3:7 / 15:35

4 0
2 years ago
The slide at the playground has a height of 6 feet.The base of the slide measured on the ground is 8 feet.what is the length of
Mariulka [41]

Answer: 10ft

Step-by-step explanation:

Using the Pythagorean theorem (a² + b² = c²) you would end up with an equation like this: 36 + 64 = 100. You would then square root 100 and the answer would be 10 ft

7 0
3 years ago
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