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tester [92]
3 years ago
5

A 21-foot tree casts a 38-foot shadow directly down a slope when the angle of elevation of the sun is 32 degrees. Find theta, th

e angle of elevation of the ground (to the nearest tenth of a degree)
Mathematics
2 answers:
Ulleksa [173]3 years ago
6 0

Answer: 35 degree.

Step-by-step explanation:

The angle of elevation makes the height of the tree as opposite, while the shadow it casts is the hypotenuse.

Using trigonometry

[email protected] = opposite/hypotenuse

[email protected] = 21/38

[email protected] = 0.55

@ = sin^0.55

@ = 33.54

@ = 35 degree, to the nearest tenth degree.

ANEK [815]3 years ago
3 0

Answer:

3.97°

Step-by-step explanation:

Let

θ = desired angle

α =32° - θ = the angle above ground to the top of the slope

θ = 32° - a

If angle of the sun is 32° above a level horizon, then the angle at the top of the slope is given as δ = 90 - 32 = 58°. Now we can measure a

38/sin(58°) = 21/sin a

sin a = [21 sin(58°)]/38

Sin a = 0.47

a = arcsin 0.47 = 28.03

Since,

θ = 32° - a

θ = 32° - 28.03° = 3.97°

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(-5x2 – 43 – 1) +(-4x2 – 4x)
emmainna [20.7K]

Answer:

−9x 2 -44-4x

Step-by-step explanation:

1 Simplifica  -5{x}^{2}-43-1−5x

2

−43−1  a  -5{x}^{2}-44−5x

2

−44.

-5{x}^{2}-44-4{x}^{2}-4x

−5x

2

−44−4x

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2 Colecciona los términos semejantes.

(-5{x}^{2}-4{x}^{2})-44-4x

(−5x

2

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2

)−44−4x

3 Simplifica.

-9{x}^{2}-44-4x

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2

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listo  espero te halla ayudado

4 0
2 years ago
There are 100 students in 11th grade at john d'obryant school of math & science in boston. 60 like basketball and 70 like te
Kryger [21]
I think 70 because playing on a varsity, i think, means to play both sports. So I added 10 to the number of students that play basket ball, which is also equal to the number of students that like tennis.

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7 0
3 years ago
Sanjay had a case of 24 bottles of water. In the first week Sanjay drank 3/8 of the bottles of water. In the second week Sanjay
Gnom [1K]

Answer:

The answer to your question is: 5 bottles

Step-by-step explanation:

Process

First week

Divide 24 by 8

                        24/8 = 3 bottles = 1/8

                        but Sanjay drank 3/8 = 9 bottles

And there are 24 - 9 bottles left = 15

- Second week

Divide 15 by 3

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                       but sanjay drank 2/3 = 10 bottles

Then, there are 15 - 10 bottles left  = 5

                         

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LiRa [457]
I think it’s 20 mph?
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3 years ago
A rugby team played six games.
Schach [20]

Step-by-step explanation:

mean score means the sum of all 6 scores divided by the number of games : 6.

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sum6 = 15×6 = 90

(sum6 + x)/7 = 16

sum6 + x = 16×7 = 112

90 + x = 112

x = 22

they scored 22 points in the 7th game.

3 0
2 years ago
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