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
The pre-image is
yKpoI14uk [10]
It is the last one.

A pre-image is the original before another shape is created from it, either dilated, translated, reflected, or rotated.
8 0
3 years ago
Read 2 more answers
X + 2y = 7<br> 3x - 2y = -3
VladimirAG [237]
Use Subtraction

1. Subtract
x+2y=7
3x-2y=-3
-------------
4x+0y=4 SIMPLIFY 4x=4

2. DIVIDE

4x=4
x=1

Substitute that into either of the original equations to get x=1, y=3





4 0
3 years ago
Find the ratio in simplest form.<br><br> 30:6<br><br> A. 1:5<br> B. 4:1<br> C. 5:1
nekit [7.7K]
ANSWER

The simplest form of the ratio
30:6
is

5:1


EXPLANATION

The ratio given to us is
30:6


We can divide each term in ratio by the same number.


To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is
6.


This implies that,

30:6 =  \frac{30}{6} : \frac{6}{6}


We simplify this to obtain,



30:6 = 5: 1


The correct answer is C.



Alternatively,


30:6 =   \frac{30}{6}


30:6 =   \frac{5}{1}


This implies that,


30:6 =   5:1



6 0
3 years ago
Read 2 more answers
Giving out Brainlist! Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height
Ulleksa [173]

Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and there are 4 legs on each table. He writes the expression 4(2x) + 4(x) to model his building plans. What does 2x represent?

2x represents the height of one kitchen table leg. 2x represents the total height of all four kitchen table legs. 2x represents the height of one coffee table leg.<span> 2x represents the total height of all four coffee table legs.</span>
8 0
3 years ago
\a truck travels at an average of 55 miles per hour once inside city limits the truck decreases it speed by 40 percent what is t
grandymaker [24]

Answer: 33 mph

Step-by-step explanation:

First find out what 40% of 55 is:

= 40% * 55

= 22 mph

This means that the speed reduces by 22 mph inside the city.

The speed inside the city is therefore:

= 55 - 22

= 33 mph

4 0
3 years ago
Other questions:
  • Which of the following is equal to √9•16
    7·1 answer
  • Solve for x.<br> x+23=−22 <br> Enter your answer in the box.<br><br> x = ___
    10·2 answers
  • To prove that the triangle are similar by the sss similarity theorem it needs to be shown that
    10·1 answer
  • Solve the equation for the letter d: C=pi*d<br>  Pleaseeee someone help me
    7·1 answer
  • I need help with this question
    9·1 answer
  • A stereo salesperson earns a salary of $1900 per month, plus a commission of 4% of sales. The salesperson wants to maintain a mo
    14·1 answer
  • $0.26/hour=$_____/day
    10·2 answers
  • -75x + 200 represents a bank account balance after x months. What is the initial amount in the
    12·1 answer
  • Some help will be nice, and I have some more questions to come!
    13·2 answers
  • Find the arc length on a circle with radius =4 inches and central angle of 30°
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!