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larisa86 [58]
3 years ago
11

A tourist standing on the New York City coast sees the Statue of Liberty, which is 305 feet tall. She must tilt her head 9 degre

es upwards to look at its head. How far away is she from the base of the statue? Round your answer to the nearest whole foot.
Mathematics
1 answer:
mixer [17]3 years ago
4 0

Given:

Height of the Statue of Liberty = 305 feet

Angle of elevation = 9 degrees

To find:

The between the tourist and the Statue of Liberty.

Solution:

Using the given information, draw a figure as shown below.

In a right triangle,

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

In the triangle ABC,

\tan 9^\circ=\dfrac{305}{x}

x=\dfrac{305}{\tan 9^\circ}

x=1925.6942

x\approx 1926

Therefore, the tourist is standing 1926 feet from the Statue of Liberty.

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Three people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 90.5 N , Jill pul
Radda [10]

Answer:

Fn= 174.9 N : Magnitude of the net force the people exert on the donkey.

Step-by-step explanation:

We find the components of the forces in x-y-z

Force of  Jack in z   =F₁z=90.5 N in direction (+z)

Force of  Jill  in x     = F₂x= -82.3*cos45°= - 58.19 N (-x)

Force of  Jill  in y     =F₂y=-82.3*sin45°=   + 58.19 N (+y)

Force of  Jane  in x  =F₃x=125*cos45°=   + 88.4 N (+x)

Force of  Jane  in y   =F₃y=125*sin45°=   + 88.4  N (+y)

Calculating of the components of the net force the people exert on the donkey.

Fnx= F₂x+F₃x=( - 58.19+ 88.4 )N=30.2N (+x)

Fny= F₂y+F₃y=( 58.19+88.4 ) = 146.59 N (+y)

Fnz =F₁z=90.5 N  (+z)

Calculating of the magnitude of the net force the people exert on the donkey.

F_{n} =\sqrt{(F_{nx})^{2}+(F_{ny}) ^{2} +(F_{nz}) ^{2}   }

F_{n} =\sqrt{(30.2)^{2}+( 146.59) ^{2} +(90.5) ^{2}   }

F_{n} = 174.9 N

7 0
3 years ago
A tree that is 3 feet tall is growing at a rate of 32% each year. How tall will it be in 3 years?
pashok25 [27]

Answer: 5.88 feet tall

Step-by-step explanation:

Using this formula

Interest =principal×rate×time/100

Principal is the actual growth=3ft

Rate is the 32%

Time is 3yrs

Interest =3×32×3/100

Interest =2.88

To get the value for 3yrs,add the interest to the principal value

Exact value in 3yrs=

3+2.88

=5.88 feet tall

4 0
3 years ago
If you could please help me that would be great.
Brut [27]
No.1
r=9

No.3
r=10.5ft

No.5
C=132m

No.7
C=25.12

No.9
44

No.11
264cm

No.13
97.34m

No.15
47.1

No.17
Am not sure

Hope this helps though
8 0
1 year ago
Why is this undefined
Burka [1]
Because you can’t divide something by zero!
Hope this helps!
7 0
3 years ago
Read 2 more answers
Television and radio stations use four call letters starting with w or​ k, such as wxyz or krld. assuming no repetitions in the
katen-ka-za [31]
Here we are dealing with combinations without repetitions.

Let's write the form of a name.
For names starting with W:
W _ _ _
For names starting with K:
K _ _ _

We are allowed to use only lettrs from F to X. That's total of 19 letters. We are not allowed to repeat letters so for each letter we can choose from one less available letters.

Let's start with names begining with W. We will write how man possible letters we can choose from.
W 18 17 <span>16
</span>At second possition we can choose from 18 letters because we must not repeat letters and W is placed in front of X in alphabet.
At third position we can choose from 17 letters becasue we already chose two of 19 possible letters.
At fourth position we can choose from 16 letters becasue we already chose three of 19 possible letters.
To calculate total number of possible names we need to multiply these numbers:
1 * 18 * 17 * 16 = 4896

Same calculation can be done for names starting with K. We would get same number as solution.

Total number of possible names starting with W or K is 4896 + 4896 = 9792
4 0
3 years ago
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