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kolbaska11 [484]
2 years ago
6

A surveyor standing on top of a cliff found that the angle of depression of a boat as sea is 22°. if the top of the cliff is 15m

above sea level how far is the boat from the foot of the cliff?​
Mathematics
1 answer:
Alex73 [517]2 years ago
5 0

Answer:

From the photo above i interpreted the question and drew a triangle to make it easier to solve

Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)

Tan θ =Opp/Adj

Tan 22°=15/a

Cross Multiply

aTanθ=15°

Divide both sides by Tan 22

aTan22/Tan22 = 15/Tan 22

a = 15/Tan 22°

a = 37.13 m

Therefore the distance between the foot of the cliff to the boat is 37.13 metres

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A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

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This is also called vertex form because the vertex (h,k) is grouped according to their variable.
 
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
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x²+6x+___=y-8+___
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6 0
3 years ago
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Elan Coil [88]
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2 years ago
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PtichkaEL [24]

Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

Explanation:

Since we have given that

For every 5 pieces of cloth, 2 are rectangles

So, remaining piece will be of triangle so,

5-2=3

3 are triangles.

Ratio of rectangles to triangles is 2:3.

Now, she needs 15 pieces of cloth to complete her scarf,

So, Number of rectangles is needed is given by

\frac{2}{5}\times 15\\\\=2\times 3\\\\=6

Number of triangles is needed is given by

\frac{3}{5}\times 15\\\\=3\times 3\\\\=9

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6 0
3 years ago
The first five terms of a sequence are
Elena L [17]

Answer:

(a) 7 + 3( n - 1 )

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The number of term of an Arithmetic progression has the formular :

nth term = a + ( n - 1 ) d

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Korolek [52]

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Re-plug in:

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7 0
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