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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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Answer:

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Step-by-step explanation:

Given:

x+7y=22,

x-7y=-17

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Solution;

Let x+7y=22 ⇒ equation 1

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Now by solving the equation we get;

first we will Add equation 2 from equation 1 we get;

(x+7y)+(4x-7y)=22+(-17)\\\\x+7y+4x-7y=22-17\\\\5x=5

Now Dividing  both side by 5 using division property of equality we get;

\frac{5x}{5}=\frac{5}{5}\\\\x=1

Now Substituting the vale of x in equation 1 we get;

x+7y=22\\\\1+7y=22

subtracting both side by 1 using subtraction property of equality we get;

1+7y-1=22-1\\\\7y=21

Now Dividing  both side by 7 using division property of equality we get;

\frac{7y}{7}=\frac{21}{7}\\\\y=3

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4 0
3 years ago
Boris has ridden 21 miles of a bike course. The course is 30 miles long. What percentage of the course has Boris ridden so far?
snow_lady [41]

Answer:

70%

Step-by-step explanation:

21/30 * 100 = 70%

3 0
2 years ago
Algebra public opinion polls reported in newspapers are usually given with a margin of error. for example, a poll with a margin
sweet-ann [11.9K]

Answer:

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - 6.3% * 51% =47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

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Solution:

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Minimum percent of the vote that candidate Towne is expected to recieve:

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Maximum percent of the vote that candidate Towne is expected to recieve:

M=51% + E * 51%

M=51% + 6.3% * 51%

M=51% + 51% * 6.3 / 100

M=51% + 3.213%

M=54.213%


8 0
3 years ago
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ICE Princess25 [194]

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Step-by-step explanation:

8 0
3 years ago
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