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
ra1l [238]
3 years ago
11

To find the height of a mountain, surveyors often find the angle of elevation to the top from two points at the same altitude a

fixed distance apart. Suppose that the angles of the elevation from two points 500 meters apart are 35.333333333 degrees and 25.766666666666 degrees. How high is the mountain above the altitude of the two points

Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

756.36 meters

Step-by-step explanation:

Draw a diagram.  Let's call the horizontal distance from the top of the mountain to the closest point x.

Using tangent = opposite / adjacent, we can write two equations:

tan 35.3° = h / x

tan 25.76° = h / (x + 500)

Solve for x in the first equation and substitute into the second.

x = h / tan 35.3°

tan 25.76° = h / ((h / tan 35.3°) + 500)

Solve for h.

tan 25.76° (h / tan 35.3°) + 500 tan 25.76° = h

500 tan 25.76° = h (1 − (tan 25.76° / tan 35.3°))

500 tan 25.76° tan 35.3° = h (tan 35.3° − tan 25.76°)

h = 500 tan 25.76° tan 35.3° / (tan 35.3° − tan 25.76°)

h ≈ 756.36 meters

You might be interested in
Use partial products to multiply 2,104 x 8. 2,104 32 8 x 4 ones 0 8 x 0 tens N 1 hundreds 8 x 2 thousands - 16.000​
xeze [42]

9514 1404 393

Answer:

  16832

Step-by-step explanation:

As your problem statement says, ...

  2104 × 8 = 4×8 +00×8 +100×8 +2000×8

  = 32 +0 +800 +16000

  = 16,832

7 0
3 years ago
A rental car agency charges $240.00 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $3
statuscvo [17]

Answer: In a week you can travel 941 miles

Step-by-step explanation:

$240+0.15m=$381

Subtract $240 on both sides:

$240-$240+0.15m=$381-$240

0.15m=$141

Divide 0.15 on both sides:

0.15m/0.15=141/0.15

m=941 miles

5 0
3 years ago
Find the area of the parallelogram.​
Dvinal [7]

Answer: 192

Step-by-step explanation: 24 • 8

4 0
3 years ago
Read 2 more answers
looking at the scatterplot of pages versus amazon price, it appears that the data might be clustered around two separate regress
rosijanka [135]
The correct answer for the question that is being presented above is this one: "The reason for the difference can not be determined with the information that is given." Looking at the scatter plot of pages versus amazon price, it appears that the data might be clustered around two separate regression lines. The cause of the split in the data is that <span> the difference can not be determined with the information that is given</span>


4 0
3 years ago
Angle A is circumscribed about circle O.<br> What is the measure of Angle A?
vladimir2022 [97]

Answer:

The measure of the he angle A is 360°

3 0
3 years ago
Read 2 more answers
Other questions:
  • larry is shipping nails that weigh a total of 53 pounds. He divides the nails equally among 4 shipping boxes. How many pounds of
    6·2 answers
  • 6(x-6)+4=8(x+2)-4 The solution is
    6·2 answers
  • Given f(x) = x^3 + 9x and g(x) = x^2 what is the expression for (f ° g)(x)
    5·1 answer
  • Simplify the expression . <br><br> A. <br> B. r−1s4<br> C. r−5s4<br> D.
    8·2 answers
  • What are the Factored and Standard forms? i need help ASAP. Thank you please!
    9·2 answers
  • Name any two 2D shapes which are not polygons.Insert the diagrams of these shapes to support your answer.
    15·1 answer
  • A square playground has an area of 279 ft. ² What is the approximate length of each side of the playground?
    7·1 answer
  • How do i learn this subject easily?
    12·2 answers
  • Tablets are on sale for 15% off original price with the function p(t)=0.85t
    9·1 answer
  • If a : b= 5:8 and a = 20, find b.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!