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SVEN [57.7K]
4 years ago
5

Suppose a plane coming down for a landing at an airport. The angle of depression is 22 degrees. The plane is 350m from the landi

ng point along the ground. How high is the plane? (round to first decimal place)

Mathematics
1 answer:
Nostrana [21]4 years ago
6 0
See attached diagram.
A right triangle is formed with the 350m adjacent to the 22° angle.
We want to find the height of the triangle, the side opposite.
We can use the tangent ratio (opposite/adjacent) to find this height.
tan(22°) = x/350
Multiply each side by 350
350tan(22°) = x ≈ 141.4 m

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4 years ago
PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest
Ratling [72]

Answer:

<em>he rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

Step-by-step explanation:

A quadratic equation is given by:

ax^2+bx+c =0

Here, a, b and c are termed as coefficients and x being the variable.

<em>Axis of symmetry can be obtained using the formula</em>

x = \frac{-b}{2a}

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

f(x) = x^2 + 6x - 1

⇒ a = 1, b = 6 and c = -1

g(x) = -x^2 + 2

⇒ a = -1, b = 0 and c = 2

h(x) = 2^2 - 4x + 3

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in f(x) = x^2 + 6x - 1 will be:

x = \frac{-b}{2a}

x = -6/2(1) = -3

and axis of symmetry in g(x) = -x^2 + 2 will be:

x = \frac{-b}{2a}

x = -(0)/2(-1) = 0

and axis of symmetry in h(x) = 2^2 - 4x + 3 will be:

x = \frac{-b}{2a}

x = -(-4)/2(2) = 1

<em>So, the rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

<em>Keywords: axis of symmetry, functions</em>

<em>Learn more about axis of symmetry from brainly.com/question/11800108</em>

<em>#learnwithBrainly</em>

7 0
4 years ago
A board measures 2½m by 1¼m and costs 750 naira. calculate the cost of 1m² of the board. ​
maw [93]

Answer:

240naira

Step-by-step explanation:

The board measures 2½m by 1¼m

The area of the board is;

2½× 1¼ = 5/2 × 5/4 = 25/8 m²;

But 25/8 m² cost 750 naira;

Therefore 1m² cost 750 / 25/8

750 × 8/25 =

30 × 8

240naira

3 0
3 years ago
$40 is discounted into $32 what is the percent decrease
Sphinxa [80]
About 28.5 percent is the decrease I hope this helps :)
4 0
3 years ago
Read 2 more answers
30 + 40 = <br> 40+10=<br> 50+0=<br> 40+10=
Oliga [24]

Answer:

70

50

50

50

The easiest way to do it is to add the first digits then add the zero.

Hope that helps and have a great day!

3 0
3 years ago
Read 2 more answers
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