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
Tom [10]
3 years ago
10

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 32 ∘ . From a point 2000 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:
Alex73 [517]3 years ago
8 0

Answer:  3528.25

Step-by-step explanation:Make a sideview sketch

you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°

the side opposite the 3° angle is 1000

by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)

x/sin24 = 1000/sin3

x = 1000sin24/sin3

let the height of the mountain be h

sin 27 = h/x

h = x sin27 = (1000sin24/sin3)(sin27)

= 3528.25

You might be interested in
Can anyone help me with this geometry two column proof
Anastasy [175]

Answer:

Step-by-step explanation:

∠1 + ∠2 = 180                      Linear pair

∠4 + ∠5 +∠ 3 = 180             form straight line

∠1 + ∠2 = ∠4 + ∠5 + ∠3        from statement 1 and 2

∠3 +∠2 = ∠4 + ∠5 + ∠3          ∠1 and ∠3 are vertically opposite angles.

∠2 = ∠4 + ∠5                           Proved

3 0
3 years ago
Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
d1i1m1o1n [39]

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

4 0
3 years ago
can someone help me answer a trigonometry question? I'm new to this website so I don't know how to write my question out
yarga [219]

maybe you can attach the photo ?

5 0
3 years ago
Can someone pls help me
mote1985 [20]

2 1/4 cups of pretzels

6 0
3 years ago
In the game Yahtzee, players roll five dice. There are 13 rounds per game. In each round, each player can roll the dice up to th
Vinil7 [7]

Answer: 13

Step-by-step explanation: because I have the whole bookanswer duh

8 0
3 years ago
Other questions:
  • Someone please help me with this :3
    13·2 answers
  • 576 bottles of water at the snack shop people bought 469 bottles of water how many bottles of water are there now
    13·1 answer
  • Emma, Steve, Maria, and George are comparing the solution of a math assignment problem below.
    8·2 answers
  • How to solve v<br> 43.27×1.68
    11·1 answer
  • 115. Sami opens an account and deposits $100 into it at the end of each month. The account earns 2% per year compounded monthly.
    6·1 answer
  • A bike rider is traveling at a speed of 15 feet per second. Write an expression for the distance the rider has traveled after s
    8·1 answer
  • Given that x is an integer and that –15 &lt;x 5 35,<br>write down the least value of x.​
    5·1 answer
  • The sum of 13 and twice n
    6·1 answer
  • The value of x which makes 2/3(1/4x-2)=1/5(4/3x-1)<br><br> PLEASE ANSWER ASAP 45 POINTS !!!
    15·1 answer
  • There are 15 marbles in a jar: 4 red, 5 green, and 6 yellow. You select one marble and do not replace it. Then, you select anoth
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!