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Paha777 [63]
3 years ago
14

James notes the angle of elevation of the top of tower to be 30 degree if James is 100meter away horizontally from the base of t

he tower find the height of the tower?​
Mathematics
1 answer:
noname [10]3 years ago
3 0

Answer:

h = 57.73 m

Step-by-step explanation:

We have,

The angle of elevation of the top of tower to be 30 degree

James is 100 m away horizontally from the base of the tower.

It is required to find the height of the tower.

Here, angle is 30 degree

Base, b = 100 m

Let h is the height of the tower. The relation between base and height is given by :

\tan\theta=\dfrac{h}{b}\\\\h=b\times \tan\theta\\\\h=100\times \tan(30)\\\\h=57.73\ m

So, the height of the tower is 57.73 m.

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((7, 6), (0,-1), (-7, -1), (-3, 2), (-5, 3) } Domain. Range​
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
astra-53 [7]

Answer:

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Step-by-step explanation:

The period of the functions y=a\cos(bx+c) , y=a\sin(bx+c), y=a\sec (bx+c) or y=a\csc(bx+c) can be calculated as

T=\dfrac{2\pi}{b}

The period of the functions y=a\tan(bx+c) or y=a\cot(bx+c) can be calculated as

T=\dfrac{\pi}{b}

A. The period of the function y=-3\tan 3x is

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B. The period of the function y=6\sin 3x is

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T=\dfrac{\pi}{\frac{1}{4}}=4\pi

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3 years ago
Which statement below is TRUE about |-2| and |-5|?
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8 0
2 years ago
What are the vertex and x-intercepts of the graph of the function given below?
olchik [2.2K]
The correct question is
<span>What are the vertex and x-intercepts of the graph of the function given below?
y = x</span>²<span>-2x-35

step 1
convert the equation in the vertex form
y+35=x</span>²-2x
y+35=(x²-2x+1-1)
y+35+1=(x²-2x+1)
y+36=(x-1)²------> equation in the vertex form

the vertex is the point (1,-36)

the answer Part a) is
the vertex is the point (1,-36)

Part b) Find the x-intercepts
we know that
the x-intercepts is when y=0
so
y+36=(x-1)²
for y=0
(x-1)²=36
(+/-)(x-1)=√36-------> (+/-)(x-1)=6
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(-)(x-1)=6-----> x=1-6-----> x=-5

the x-intercepts are the points
(7,0)  and (-5,0)

the answer part b) is 
the x-intercepts are the points (7,0)  and (-5,0)

the total answer is the option 
<span>A. Vertex: (1, -36); x-intercepts: (7, 0) and (-5, 0)</span>
6 0
3 years ago
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