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
Alisiya [41]
3 years ago
10

Two men on the same side of a tall building notice the angle of elevation to the top Of the building to be 30 and 60 respectivel

y. I f the height of the building is known to be h= 100, find the distance between the two men
Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answer:

  115.47 feet

Step-by-step explanation:

You know the relation between opposite and adjacent sides of an angle in a right triangle is ...

  Tan = Opposite/Adjacent

If the "adjacent" side of the angle of elevation is the distance of the man from the building, we have ...

  tan(30°) = (100 ft)/d1

and

  tan(60°) = (100 ft)/d2

Solving these equations for d1 and d2 gives ...

  d1 = (100 ft)/tan(30°)

  d2 = (100 ft)/tan(60°)

Then the distance between the two men is ...

  d = d1 -d2 = (100 ft)(1/tan(30°) -1/tan(60°)) ≈ 115.47 ft

The distance between the two men is about 115 feet.

You might be interested in
Two bowls of pasta at a restaurant serve 3 people. How many bowls of pasta should be ordered for 12 people?
Butoxors [25]
12 people divided by 3 people = 4

so if 2 bowls serve 3 people...2 bowls x 4 = serve 12 people

therefore, 8 bowls serve 12 people
6 0
4 years ago
Read 2 more answers
Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
Goshia [24]

Answer: H. 139.50

Step-by-step explanation:

Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50

6 0
3 years ago
Which of the following expressions cannot be factored a. 16+4x b. 3x+7 c. 25x+30y d. 40x-30y
Alla [95]
C. 3x + 7 because you can factor out the other 3.
a. 16+4x=4(4+X)
b. 25x+30y=5(5x+6y)
d. 40x-30y = 5(8x-6y)
hope this helps!
6 0
3 years ago
Help me to answer this pls​
nlexa [21]

Problem 1

x = measure of angle N

2x = measure of angle M, twice as large as N

3(2x) = 6x = measure of angle O, three times as large as M

The three angles add to 180 which is true of any triangle.

M+N+O = 180

x+2x+6x = 180

9x = 180

x = 180/9

x = 20 is the measure of angle N

Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.

<h3>Answers:</h3>
  • Angle M = 40 degrees
  • Angle N = 20 degrees
  • Angle O =  120 degrees

====================================================

Problem 2

n = number of sides

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

2700 = 180(n-2)

n-2 = 2700/180

n-2 = 15

n = 15+2

n = 17

<h3>Answer: 17 sides</h3>

====================================================

Problem 3

x = smaller acute angle

3x = larger acute angle, three times as large

For any right triangle, the two acute angles always add to 90.

x+3x = 90

4x = 90

x = 90/4

x = 22.5

This leads to 3x = 3*22.5 = 67.5

<h3>Answers:</h3>
  • Smaller acute angle = 22.5 degrees
  • Larger acute angle = 67.5 degrees
4 0
2 years ago
How many of each color cubes are? .. answer please
ss7ja [257]

Answer:

2 cubes are red, 6 are blue, the rest are yellow so 8

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • 98 points! please answer this question ASAP!
    10·2 answers
  • Poured 38 gallons of water into 6 buckets. how much water in each bucket?
    8·1 answer
  • I need to know the answer
    6·1 answer
  • A quantity with an initial value of 160 grows continuously at a rate of 0.65% per hour.
    11·2 answers
  • Which correlation does the two-way table suggest?
    13·1 answer
  • It is not B so plz help me
    6·2 answers
  • Whats the chance of rolling the correct number 1-6500
    14·1 answer
  • The graph shows the student's distance in miles from the recreation center after riding the bike x minutes.
    5·1 answer
  • If terrance ran 12mph and jesse ran 8mph how long will it take them to run 50 miles
    11·1 answer
  • Please help quick quick
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!