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
4vir4ik [10]
2 years ago
12

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 29° 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:
PilotLPTM [1.2K]2 years ago
6 0

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the mountain is 3110.5767 feet.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The height of the mountain from the first point,

\tan(29^o) = \dfrac{H}{x+1000}\\\\H = (1000+x) \times \tan(29^o)

The height of the mountain from the second point,

\tan(34^o) = \dfrac{H}{x}\\\\H = x \times \tan(34^o)

Equating the height,

H = H

(1000+x) × tan(29°) = x tan( 34°)

x = 4611.5767 feet

Now, the height of the mountain is,

H = x tan(34°)

H = 3110.54776 feet

Hence, the height of the mountain is 3110.5767 feet.

Learn more about Tangent (Tanθ):

brainly.com/question/10623976

#SPJ1

You might be interested in
Which shows the integers in order.
Igoryamba
The answer A shows the integers from greatest to least
5 0
3 years ago
Read 2 more answers
Demarco has 2.25 worth of nickels in his piggy prank. how many total nickels does he have
lidiya [134]

Answer:45 nickels

Step-by-step explanation:

If a nickel is $ 0.05 , than $ 2.25 divided by. $0.05 is 45.

3 0
3 years ago
Solve this equation and explain the steps<br> 9-2x= 7x
Hunter-Best [27]

Answer:

x = 1

Step-by-step explanation:

Step 1: Write equation

9 - 2x = 7x

Step 2: Solve for <em>x</em>

<u>Add 2x on both sides:</u> 9 = 9x

<u>Divide both sides by 9:</u> x = 1

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9 - 2(1) = 7(1)

9 - 2 = 7

7 = 7

3 0
3 years ago
12x−5y=−20 y=x+4 x=x=x, equals y=y=y, equals
aksik [14]

Answer:

The solution is (0, 4)

Step-by-step explanation:

Please pay attention to the first two equations and drop the last two:

12x−5y=−20 y=x+4 x=x=x, equals y=y=y   should ideally be:

12x−5y=−20

y=x+4

Let's find x.  Substitute x + 4 for y in the first equation, obtaining:

12x - 5(x + 4) = -20

Carrying out the indicated multiplication, we get:

12x - 5x - 20 = -20, or 7x = 0

If x = 0 then y must be 0 + 4, or 4.  

The solution is (0, 4)

8 0
3 years ago
Definition of exponential?
lutik1710 [3]

Answer:

(of an increase) becoming more and more rapid.

"the social security budget was rising at an exponential rate"

Step-by-step explanation:

✨research ✨

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of this expression (4.08)(0.7)?
    10·2 answers
  • Luis wants to know how much he will have available to spend on his trip to Belize in three years if he deposits $2700 today at a
    7·1 answer
  • What answer for not graph just solve it 5x + y = 2
    13·1 answer
  • Kite ABCD has a longer diagonal AC with a length of 20in and a shorter diagonal BD with a length of 15in. The diagonals intersec
    5·1 answer
  • The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral
    10·1 answer
  • A coin sold for ​$264 in 1976 and was sold again in 1989 for $ 459. Assume that the growth in the value V of the​ collector's it
    14·1 answer
  • 1. MULTIPLE CHOICE Suppose y varies directly as x.
    9·1 answer
  • An auto store is having a sale on motor oil. The chart shows the price per quart as the number of quarts purchased increases.
    7·1 answer
  • Y = x2 - 6x-16<br><br> A. Graph A<br> B. Graph B<br> C. Graph C<br> D. Graph D
    11·1 answer
  • Figure ABCD is transformed to obtain figure A′B′C′D′:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!