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Mashutka [201]
3 years ago
8

An airplane spots the floating debris at an angle of depression of 15 degrees. If the plane is at an altitude of 3000. Feet, wha

t is the horizontal distance before they fly over it?

Mathematics
1 answer:
hodyreva [135]3 years ago
6 0

Answer:

11196.15 km

Step-by-step explanation:

Consider the attached diagram

If the Airplane is at point A and the floating debris at point C, we want to determine the horizontal distance |AB| before they fly over it.

Using trigonometry

Tan \alpha =\frac{Opposite}{adjacent} \\Tan 15 =\frac{3000}{|AB|}

Cross multiply

|AB|X Tan 15 =3000

|AB| = \frac{3000}{Tan 15} =11196.15 km

Therefore, the horizontal distance |AB| before they fly over it is 11196.15 km

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raketka [301]

Answer:

Rounding can be referred to as a replacement of a number with another number that is equivalent to it. Rounding can be used to shorten a given number without depriving it of its original value. For example, we have to round 56.89. We can round it as replacing it with 57 which is the closest value to 56.

Rounding numbers isn't that difficult task. In fact, it's quite interesting and easy to do. For rounding, all you are required to do is to figure out which decimal place of the number you want to round off. There are different methods to round off numbers. You can round off numbers to Half Up/Down, Round-Up/Down Round Half to Even/Odd, and So on. Anyhow, here, we are concerned with "To What Place You Want to Round Off a Number". This can be illustrated.

To know how rounding calculator works you just have to understand the way the numbers are rounded off to a particular decimal place. Following is a list of the places to which a number can be rounded off: 1. Ones 2. Tens 3. Hundreds 4. Thousands 5. Ten Thousands 6. Millions 7. Tenths (1 decimal place) 8. Hundredths (2 decimal place) 9. Thousandths ( 3 decimal place) 10. Ten Thousandths (4 decimal place) 11. Hundred Thousandths (5 decimal place) 12. Millionths (6 decimal place)

Step-by-step explanation:

3 0
3 years ago
What is the area of a parallelogram whose verticles are A(-12, 2), B (6, 2), C(-2, -3), and D (-20, -3)?
Liono4ka [1.6K]

The area of the parallelogram will be 108 square units.

<h3>What is the area of the parallelogram?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The vertices of the parallelogram are (x₁, y₁), (x₂, y₂), (x₃, y₃), and ( x₄, y₄).

Then the area of the parallelogram will be calculated as below:-

Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₄+x₄y₁) - (y₁x₂ + y₂x₃ + y₃x₄+y₄x₁)]|

We have

(x₁, y₁) ⇒ (-12, 2)

(x₂, y₂) ⇒ (6, 2)

(x₃, y₃) ⇒ (-2, -3)

(x₄, y₄) ⇒ (-20 , -3 )

Then the area will be

Area = 1/2[{(-12) x (2) + (6) x (-3) + (-2) x (-3) + (-20 x 2 )} – {(2) x (6) + (2) x (-2) + (-3) x (-20) + ( -3 ) ( -12 )}]

Area = 108 / 2  

Area = 54 square units.

Therefore, the area of the parallelogram will be 108 square units.

To know more about the area of parallelogram follow

brainly.com/question/970600

#SPJ1

8 0
2 years ago
City chicken stores regular selling price for a family pack of fried chicken is $14.67. The markdown rate on Wednesday is 17 per
Kisachek [45]
$12.18, 100% - 17% is 83% of the original price. 14.67 Times .83 is 12.1761, or 12.18
8 0
3 years ago
A red gumball is 2 5/8 inches across. A green gumball is 2 5/6 inches across. List the gumballs in order from smallest to least
Savatey [412]
Green gumball, red gumball
4 0
3 years ago
Please help me I will mark brainliest
Leviafan [203]
26.75 square units
good luck!!
6 0
3 years ago
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