1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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°

You might be interested in
A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much do
Lilit [14]

From.the calculated area and perimeter of the field, it will cost the farmer $475740 to fence and seed the pasture.

<h3>What is the area of the field?</h3>

The area of the field is calculated as follows:

Area of square = 450 ft × 450 ft = 202500 square feet

Area of triangle = (450 ft × 120 ft)/2 = 27000 square feet

Area of field = 229500 square feet

Cost of seeding the field = 229500 × $2 = $459000

Perimeter of the field = 450 + 450 + 450 + 255 + 255 = 1860 ft

1 ft = 1/3 yard

1860 ft = 1860 × 1/3 yards = 620 yards

Cost of fencing = 620 × $27 = $16740

Total cost of seeding and fencing = $475200

Therefore, it will cost the farmer $475740 to fence and seed the pasture.

Learn more about area and perimeter at: brainly.com/question/19819849

4 0
2 years ago
So if I buy something for $36.97 and the and buy something else for $9.48 what will be the Total all Together?​
Paul [167]

Answer:

36.97+9.48

=$46.45

Step-by-step explanation:

hope it helps

5 0
2 years ago
Read 2 more answers
Please HELP MEEEE!!
vladimir1956 [14]

Answer:

oh go on quizlet and look

Step-by-step explanation i saw it there

7 0
2 years ago
What is the expanded form for 45 squared?
Orlov [11]

Answer:

C) 45 x 45

The expanded form for 45 squared is 45×45

Step-by-step explanation:

45 squared means 45² i.e 45×45

Therefore, letter C) 45×45 is the answer

6 0
2 years ago
Read 2 more answers
Find the sum of the following infinite sequence: 8, 2, .5, …
lubasha [3.4K]
Answer:
10.67

Explanation:
The given series is a geometric series:
8 , 2 , 0.5 , ...... etc

The general formula of the geometric sequence is:
a1 , a1*r , a1*r² , ......

Comparing the general form with the given, we would find that:
a1 = 8
a1 * r = 2
Therefore:
8*r = 2
r = 2/8 = 0.25

We can double check using another term as follows:
a1 = 8
a1*r² = 0.5
8r² = 0.5
r² = 0.5/8 = 0.0625
r = √0.0625 = 0.25

Now, we will get the sum of the sequence as follows:
S = \frac{a1}{1 - r} = \frac{8}{1 - 0.25} = 32/3 = 10.67

Hope this helps :)
3 0
3 years ago
Other questions:
  • What is the length of AC
    9·1 answer
  • Write the equation of a line that includes the point (-4,0) and a slope of 3/5 in slope intercept form?
    7·1 answer
  • How do you find a vector of length 10 in the direction of v= &lt;3,-2&gt;?
    9·2 answers
  • 3×4 10×10+10/2-6×4<br>Please help me as soon as possible
    7·1 answer
  • If m = 5 and n = -2, evaluate 3m - 4n and n2 - m and find the product of the two expressions.
    7·1 answer
  • Need help ASAP please
    10·1 answer
  • Work out (4.2×107)÷(7×104)Give your answer in standard form. Work out (4.2×107)÷(7×104)Give your answer in standard form.
    10·1 answer
  • Students are voting for a Friday Funday activity. 0.84 want a movie and snack. There are 300 voters. How many votes does the win
    10·1 answer
  • Question 1 of 10
    10·1 answer
  • Shawn graphed the points listed below.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!