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quester [9]
3 years ago
13

Terrance wants to determine the height, x, of a nearby tree. He stands 29 feet from the base of the tree. The measure of the ang

le of elevation from Terrance to the top of the tree is 53°.​

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

x = 29tan53

Step-by-step explanation:

Given

Distance from base of the tree = 29feet

Angle of elevation = 53degrees

Required

Height of the tree = x

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan 53 = x/29

x = 29tan53

Hence the required measure is x = 29tan53

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SpyIntel [72]

See the attached picture:

8 0
3 years ago
Help please<br> I will give brainliest
Mashutka [201]
  • tan (<Q)=11/8
  • m(<Q)=tan^-1(11/8)=53.96°
  • tan(<P)=8/11
  • m(<P)=tan^-1(8/11)=36.02°
  • QP=Square root of (8)^2+(11)^2=square root 185
  • the answer of the second question is 53°

8 0
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The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other
inn [45]

Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Step-by-step explanation:

Let x= height of each fir tree, y = height of each pine tree.

As per given, we have

x+y = 21          (i)

4x=y+24        (ii)

From (ii),

4x-y=24            (iii)

Add (i) and (iii), we get

5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9

Put value of x in (i), we get

9+y=21\Rightarrow y=12

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

3 0
3 years ago
Read 2 more answers
Someone please help​
dedylja [7]

Answer:

1. y = -2x + 5

2.  y = 3/5x + 5

3. y = -4/5x - 4

4. y = - 1

5. yes

6. yes

7. yes

8. no

Step-by-step explanation:

1.   (4,-3) parallel to y= -2x

     -3 = -2(4)+b

     b=5

2. (-5,2) parallel to y = 3/5x

    2= 3/5(-5)+b

     b=5

3. (-5,0) -4/5x

   0 = -4/5(-5)+b

    b = -4

4. (-4,-1)

    y= -1

5. yes

6. yes

7. yes

8. no

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  • opposite reciprocal  = perpendicular ex. y = -5x +7, y = 1/5x + 12
  • to find "b" with slope and point

          (x,y)  y = mx + b

          plug in the y value and x value in the eqaution and m=slope, solve for b

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3 years ago
You spent $10.50 at the fair. If it costs $4.50 for admission and you rode
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150 each because he will have $6 left
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