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daser333 [38]
3 years ago
13

Kim is watching a space shuttle launch from an observation spot 2 miles away. Find the angle of elevation from Kim to the space

shuttle, which is at a height of 2.1 miles.

Mathematics
1 answer:
hammer [34]3 years ago
5 0

Answer:

<h2><em>46.4°</em></h2>

Step-by-step explanation:

Find the diagrammatic representation in the attachment given.

We can see that the diagram is a right angled triangle. To get the angle of elevation, we will use one of the trigonometry identity SOH, CAH, TOA.

Given the adjacent of the triangle to be 2miles (observation spot from the point of launch)and the opposite (side facing the elevation angle) as 2.1miles (the height), we will use TOA.

tan∅ = opposite/adjacent

tan∅ = 2.1/2

tan∅  = 1.05

∅ = tan⁻¹1.05

∅ = 46.4°

<em>Hence the angle of elevation from Kim to the space shuttle, which is at a height of 2.1 miles is approximately 46.4°</em>

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Esther uses 6.6 pints of blue paint and white paint to paint her bedroom walls. 3 5 of this amount is blue paint, and the rest i
OverLord2011 [107]

Answer:

2 16/25 or 2.64 pints.

Step-by-step explanation:

Turn the 6.6 into a fraction for calculation purposes. you get 33/5. since 3/5 is blue paint and the question wants white paint, calculate 33/5 × 2/5. You should get 66/25 as the answer.

5 0
3 years ago
Are You guys up for math?? Its 6th grade math though!! so are you ready?? l want help please.
katen-ka-za [31]

The ratio would be 4:1.

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 64 and 16 is 16

Divide both terms by the GCF, 16:

64 ÷ 16 = 4

16 ÷ 16 = 1

The ratio 64 : 16 can be reduced to lowest terms by dividing both terms by the GCF = 16 :

64 : 16 = 4 : 1

Therefore:

64 : 16 = 4 : 1

3 0
3 years ago
Yall im almost done pls HELP
S_A_V [24]

Answer:

61 degrees

Step-by-step explanation:

==>Given ∆MNO,

MO = 18,

MN = 6

m<O = 17°

==>Required:

Measure of <N

==>SOLUTION:

Use the sine formula for finding measure of angles which is given as: Sine A/a = Sine B/b = Sine C/c

Where,

Sine A = 17°

a = 6

Sine B = N

b = 18

Thus,

sin(17)/6 = sin(N)/18

Cross multiply

sin(17)*18 = sin(N)*6

0.2924*18 = 6*sin(N)

5.2632 = 6*sin(N)

Divide both sides by 6

5.2632/6 = sin(N)

0.8772 = sin(N)

sin(N) = 0.8772

N = sin^-1(0.8772)

N ≈ 61° (approximated)

8 0
3 years ago
A water polo team threw a pizza party after winning the championship. They needed enough pizza for 72 people. Each pizza serves
Taya2010 [7]

Answer: 204 dollars in total

Step-by-step explanation: There are 72 people, and each serving serves six people. 72 divided by 6 =12.

12x17 equals $204

Hope this helped!

7 0
3 years ago
30 points<br> can somebody please help me<br> question below
Inessa05 [86]

Find the total number of dogs by adding each day:

Total dogs = 23

Percent of dogs: Divide the number of dogs by the total number of patients:

= 23 / 50 = 0.46 x 100 = 46%

Use the given formula to find the standard error:

Standard error = √(0.46*(1-0.46)/50) = 0.07

90%: Find Z value for 90% ( 1.645) multiply by SE:

1.645 x 0.07 = 0.115 = 0.12

Now add and subtract that value from the Percent from above:

46 + 12 = 58%

46-12 = 34%

Answer (34%, 58%)

95%: Find Z value for 95% ( 1.96) multiply by SE:

1.96 x 0.07 = 0.137 = 0.14

Now add and subtract that value from the Percent from above:

46 + 14 = 60%

46-14 = 32%

Answer (32%, 60%)

5 0
3 years ago
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