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Snezhnost [94]
1 year ago
12

11.

Mathematics
2 answers:
yKpoI14uk [10]1 year ago
6 0

\\ \tt\leadsto tan\theta=\dfrac{Perpendicular}{Base}

\\ \tt\leadsto tan29=\dfrac{h}{400}

\\ \tt\leadsto h=400tan29

\\ \tt\leadsto h=221.7ft

dangina [55]1 year ago
4 0

Answer:

221.7 ft (nearest tenth).

Step-by-step explanation:

The situation can be modeled as a right triangle where the base is the distance between the observer (O) and the building (B), and the height is the distance between the base of the building (B) and the kite (K).

To find the <u>height of the kite</u>, use the tan trigonometric ratio.

<u>Tan trigonometric ratio</u>

\sf \tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle

Given values:

  • \theta = 29°
  • O = h
  • A = OB = 400 ft

Substitute the given values into the formula and solve for h:

\implies \sf \tan(29^{\circ})=\dfrac{h}{400}

\implies \sf h=400\tan(29^{\circ})

\implies \sf h=221.7236206...

Therefore, the height of the kite flying over the building is 221.7 ft (nearest tenth).

Learn more about angles of elevation here:

brainly.com/question/27933160

brainly.com/question/27938731

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The bearing of point Y from point X is 070°.
Shkiper50 [21]

The bearing of point X <u>from</u> point Z is 285°

<h3>Calculating bearings </h3>

From the question, we are to determine the bearing of point X from point Z.

Consider the diagram attached

The bearing of point X <u>from</u> point Z is the measure of the angle from the North of Z in the <u>clockwise direction</u> to the line that goes to X.

That is,

The bearing of point X from point Z = 270° + 15°

The bearing of point X from point Z = 285°

Hence, the bearing of point X from point Z is 285°

Learn more on Calculating bearings here: brainly.com/question/22719608

#SPJ1

6 0
2 years ago
X+8/4 = -6 a.x = -32 b.x = 16 c.x = -16 d.x = -24 a. Hurryyyyy i need helppppppppp
son4ous [18]

Answer:

x = -8

Step-by-step explanation:

x + (8/4) = -6

x × 4 + (8/4) × 4 = -6 × 4

4x + 8 = -24

4x = -24 - 8

4x = -32

x = -8

6 0
3 years ago
Given f(x) = (lnx)^3 find the line tangent to f at x = 3
kirill [66]
Explanation

We must the tangent line at x = 3 of the function:

f(x)=(\ln x)^3.

The tangent line is given by:

y=m*(x-h)+k.

Where:

• m is the slope of the tangent line of f(x) at x = h,

,

• k = f(h) is the value of the function at x = h.

In this case, we have h = 3.

1) First, we compute the derivative of f(x):

f^{\prime}(x)=\frac{d}{dx}((\ln x)^3)=3*(\ln x)^2*\frac{d}{dx}(\ln x)=3*(\ln x)^2*\frac{1}{x}=\frac{3(\ln x)^2}{x}.

2) By evaluating the result of f'(x) at x = h = 3, we get:

m=f^{\prime}(3)=\frac{3}{3}*(\ln3)^2=(\ln3)^2.

3) The value of k is:

k=f(3)=(\ln3)^3

4) Replacing the values of m, h and k in the general equation of the tangent line, we get:

y=(\ln3)^2*(x-3)+(\ln3)^3.

Plotting the function f(x) and the tangent line we verify that our result is correct:

Answer

The equation of the tangent line to f(x) and x = 3 is:

y=(\ln3)^2*(x-3)+(\ln3)^3

6 0
1 year ago
Complete the equation of the line through (-8,-2)(-4,6)<br> use exact numbers
Firdavs [7]

Answer:

y = 2x + 14

Step-by-step explanation:

Hope this helps!!!

First, you have to find the slope by using

In other words,

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

Remember that m is the slope.

Distribute the slope to the parenthesis

Isolate the y variable

6 0
3 years ago
PLEASE I NEED HELPPP !!!!! please help
Strike441 [17]
Can you take a better picture because it’s hard to see where the line marks. or tell me the coordinates.
3 0
2 years ago
Read 2 more answers
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