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gregori [183]
3 years ago
8

there is à rope running from the top of a flagpole to a hook in the ground. the flagpole is 16 meters high, and the hook is 12 m

eters from its base. how long is the rope?
Mathematics
2 answers:
Gnom [1K]3 years ago
7 0
20 meters
you would use pythagorean’s theorem which is A^2+B^2=C^2
c is the hypotenuse which would be the length of the rope
USPshnik [31]3 years ago
4 0

Answer:

192 m

Step-by-step explanation:

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A 12-meter ladder leans against a building forming a 30° angle with the building.
KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

  so the base of this right triangle is 6 feet.

 

The top of the ladder to the ground represents

the missing leg of the right triangle.

 

The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

                                 of the top of the ladder to the ground

 

36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

5 0
2 years ago
Find the length of arc RQ. Use 3.14
Helen [10]

Answer:

The length of arc PQ is 8.1 inches.

Step-by-step explanation:

First, you have to find the angle of POQ. Given that total angles in a circle is 360°, so you have to subtract to get ∠POQ :

73 + 150 + 65 + ∠POQ = 360

288 + ∠POQ = 360

∠POQ = 360 - 288 = 72

Next, you have to apply length of arc formula, Arc = θ/360×2×π×r where θ represents the angle of arc and r is the radius of circle :

arc =  \frac{θ}{360}  \times 2 \times \pi \times r

let \: θ = 72,\pi = 3.14,r = 6.48

arc =  \frac{72}{360}  \times 2 \times 3.14 \times 6.48

arc = 8.1 \: inches \: (near.tenth)

7 0
3 years ago
Perform the indicated operation
dimulka [17.4K]
The Answer is D!!
Hope this helps
4 0
2 years ago
Please help me, you will get 20 points:)
ASHA 777 [7]
Dont listen to the person above, they put the same link everhwher
4 0
3 years ago
Read 2 more answers
What is the derivative of y=(4x+1)(1-x)^3
Rudik [331]
I am not so sure of this but I feel it would serve as hint

6 0
3 years ago
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