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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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The measure of one angle is six more than half the measure of another angle. If the angles are complementary, find both measures
Snowcat [4.5K]

Answer:

The measures of the two angles are 34° and 56°

Step-by-step explanation:

* Lets explain how to solve the problem

- The complementary angles are the angles whose the sum

  of their measures is 90°

- The measure of one angle is six more than half the measure

 of another angle

- Let the measure of the second angle angle is x

∵ The measure of the 2nd angle is x

∵ The measure of the first angle is 6 more than the half of the

  measure of the second angle

∴ The 1st angle is 6 + 1/2 x

∵ The two angles are complementary

∴ The sum of their measures is 90°

∴ x + (6 + 1/2 x) = 90

∴ (x + 1/2 x) + 6 = 90

∴ 3/2 x + 6 = 90

- Subtract 6 from both sides

∴ 3/2 x = 84

- Multiply both sides by

∴ 3x = 168

- Divide both sides by 3

∴ x = 56

∵ x is the measure of the 2nd angle

∴ The measure of the 2nd angle is 56°

∵ The measure of the 1st angle = 6 + 1/2 x

∵ x = 56

∴ The measure of the 1st angle = 6 + 1/2(56) = 34°

* The measures of the two angles are 34° and 56°

4 0
2 years ago
5x(6x+28)=-23 <br><br>Help I don't understand
aksik [14]

Answer:

Solve the equation for  x  by finding  a,  b, and  c  of the quadratic then applying the quadratic formula.


Exact Form:


x  =  −  70  ±  √4210/30


Decimal Form:


x  =  −0.03


Step-by-step explanation:

5x(6x+28)=−23


Step 1: Simplify both sides of the equation.


30x2+140x=−23


Step 2: Subtract -23 from both sides.


30x2+140x−(−23)=−23−(−23)


30x2+140x+23=0


Step 3: Use quadratic formula with a=30, b=140, c=23.


x=−b±√b2−4ac/2a


x=−(140)±√(140)2−4(30)(23)/2(30)


x=−140±√16840/60


x=−7/3+1/30√4210 or x=−7/3+−1/30√4210

3 0
3 years ago
Read 2 more answers
Helppppp!!!!<br> I don’t understand it
oksian1 [2.3K]
Okay so for 2x-y > 3
Subtract -2 from each side
-y>-2x+3
Divide by -1
And when you divid you gotta switch signs
So it’s y<2x-3

3x-5y less than and equal to 25
Subtract 3
-5y is less than and equal to -3x+25
Then divide by -5
Flip since we divide
Y more than and equal to 3/5x-5
We always flip signs when we divid or multiple
I hope this help
Sorry if I’m wrong
6 0
2 years ago
Please help! Thank you
erica [24]

Answer:

B 10/26

Step-by-step explanation:

Cosine is the adjacent side over the hypotenuse.

7 0
2 years ago
Read 2 more answers
Someone please answer this
34kurt
.23555279935789113574
7 0
2 years ago
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