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mash [69]
3 years ago
6

An airplane flying at an altitude of 30,000 feet is headed toward an airport. To guide the airplane to a safe landing, the airpo

rts landing system sends radar signals from the runway to the airplane at a 10 degree angle of elevation. How far is the airplane (measured along the ground) from the airport runway?

Mathematics
2 answers:
Pepsi [2]3 years ago
7 0

Answer:

170138.45 feet

Step-by-step explanation:

Look at the attached photo, we want to calculate x

tan(10)=\frac{30000}{x}

x = \frac{30000}{tan(10)} = 170138.45 feet

Citrus2011 [14]3 years ago
6 0

Answer:

The answer would be 170138.45 feet

Step-by-step explanation:

   

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Assume the rate of inflation is 5​% per year for the next 2 years. What will be the cost of goods 2 years from​ now, adjusted fo
kirza4 [7]
The equation for inflation is
A = P*(1+r)^t
which is an exponential growth equation (if r > 0). If r < 0, then we have deflation.

where...
A = final price after t years
P = initial starting price
r = rate of inflation in decimal form 
t = number of years

In this case, 
A = unknown (we're solving for this)
P = 280 is the starting price
r = 0.05 is the decimal form of 5%
t = 2 years

We will plug these three pieces of info into the formula to get...
A = P*(1+r)^t
A = 280*(1+0.05)^2
A = 280*(1.05)^2
A = 280*(1.1025)
A = 308.70

Answer: 308.70 dollars
7 0
3 years ago
Jane paid $35 for her meal. If the cost of the meal was $30, what was the tax rate.
uranmaximum [27]

Answer:

15% tax

Step-by-step explanation:

7 0
2 years ago
Help please !!<br> The graph of the invertible function f is shown on the grid below.
vivado [14]

Answer:

4

Step-by-step explanation:

→ We go up the y axis to 6 and read of the x coordinate which is 4. This is because an inverse function does the the opposite i.e.  if f ( x ) = y

f⁻¹ ( y ) = x.

4 0
2 years ago
A triangle's height is 10 feet more than its base. If the area of the triangle is 100 square feet, use factoring to find its dim
stiks02 [169]

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

Step-by-step explanation:

Height = base + 10

Area = 100 square ft

Area of a triangle= (1/2) (b) (h)

100 = (1/2) (b) (b + 10)

200 = b(b) + 10b

b(b) + 10b - 200 = 0

b(b) + 20b - 10b - 200 = 0

b ( b + 20) -10(b + 20) = 0

(b-10) (b+20) =0

b = 10 (or) b = -20

Here b is the length and cannot be negative.

So, b = 10ft

h = b + 10

h = 10 + 10

h = 20 ft.

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

6 0
3 years ago
HELPP ASaPP I’ll mark you as brainlister
nika2105 [10]

Answer:

BC ≈ 8.9 units

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos36° = \frac{adjacent}{hypotenuse} = \frac{BC}{AB} = \frac{BC}{11} ( multiply both sides by 11 )

11 × cos36° = BC , then

BC ≈ 8.9 ( to the nearest tenth )

5 0
2 years ago
Read 2 more answers
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