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
aleksandr82 [10.1K]
3 years ago
9

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that

the angle of elevation to the top of the mountain is 31. From a point 1000 feet closer to the mountain along the plain, they find that the angle of elevation is 34. How high (in feet) is the mountain?

Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

5507.79 feet

Step-by-step explanation:

To find the height of the mountain, we can draw triangles as in the image attached.

Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.

Then, we can use the tangent relation of the angles:

tan(34) = h/x

tan(31) = h/(x+1000)

tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:

h/x = 0.6745 -> x = h/0.6745

using this value of x in the second equation:

h/(x+1000) = 0.6009

h/(h/0.6745 + 1000) = 0.6009

h = 0.6009 * (h/0.6745 + 1000)

h = 0.8909*h + 600.9

0.1091h = 600.9

h = 600.9 / 0.1091 = 5507.79 feet

You might be interested in
Please help me!!<br> 2(5– x)3 – 11=151
konstantin123 [22]

Answer:

x = -22

Step-by-step explanation:

2(5– x)3 – 11 = 151

(10 - 2x)3 - 11 = 151

30 - 6x = 162

-6x = 132

x = -22

5 0
3 years ago
What number is 120% of 12
Rasek [7]
120% of 12 is 14.4.I got this by doing this:

12/x=100/120
<span>(12/x)*x=(100/120)*x       - </span>we multiply both sides of the equation by x
<span>12=0.833333333333*x       - </span>we divide both sides of the equation by (0.833333333333) to get x
<span>12/0.833333333333=x </span>
<span>14.4=x </span>
<span>x=14.4</span>
5 0
3 years ago
what is 79% of 800? that's all the questions but I can ask it cuz apparently it's to shirt but what is 79% of 800?​
ahrayia [7]

Answer:

the answer is 632

Step-by-step explanation:

that is %79 of 800

3 0
3 years ago
Read 2 more answers
Express 3/5 as a decimal
lana66690 [7]

Answer:0.60

Step-by-step explanation:

Multiply the denominator (5) and the numerator (3) by 20. Both sides multiplied equals 60 as the numerator and 100 as the denominator. After the conversions to a decimal, your answer should be 0.60 since 60/100=0.60.

4 0
3 years ago
Write a rule for the nth term of the sequence 2,20,50,92?
Tomtit [17]

Answer:

482

Step-by-step explanation:

Their 2nd difference is 12

7 0
3 years ago
Read 2 more answers
Other questions:
  • The angle of elevation to the top of a 20-story skyscraper is measured to be 2 degrees from a point on the ground 5,280 feet fro
    14·2 answers
  • Suppose you have a mean standardized score of 1100 points with a standard deviation of 100 points. This data is normally distrib
    6·1 answer
  • 21 fewer stars than 3 times a number H
    14·1 answer
  • Which is the correct step below for using the grouping method to factor the following polynomial? 8x - 6 - 12x2 + 9x
    9·2 answers
  • In attempting to solve the system of equations and , John graphed the two equations on his graphing calculator. Because he saw o
    10·1 answer
  • The diameter of a sphere is 6 ft. Find the exact volume of the sphere.
    15·2 answers
  • Ainsley works for the owners of bookstore . Her starting salary was $24,500, and she gets a 3% raise each year. What will ainsle
    7·1 answer
  • Can you help me please?
    10·2 answers
  • Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard. The length is 5 feet le
    6·2 answers
  • 1. In school lottery to win a price for "Free Domino's Pizza" it is required to select 5 numbers (in any order) out of 40 number
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!