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
Aleks04 [339]
3 years ago
7

a plane flying at a certian altitude is observed from two points that are 3 miles apart. the Angles of elevation made by the two

points are 55deg and 72deg​
Mathematics
1 answer:
aev [14]3 years ago
7 0
The altitude of the plane is 8 miles
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
tan(72°)=h/x
h=xtan(72°) -----> equation A
In the right triangle ABD
tan(55°)=h/(x+3)
h=(x+3)tan(55°) -----> equation B
equate equation A and equation B and solve for x
xtan(72°)=(x+3)tan(55°)
xtan(72°)-xtan(55°)=3tan(55°)
x[tan(72°)-tan(55°)]=3tan(55°)
x=3tan(55°)/[tan(72°)-tan(55°)]
Find the value of h
h=xtan(72°)
h=[3tan(55°)*tan(72°)]/[tan(72°)-tan(55°)]
h=8 miles
You might be interested in
3. In the figure below, find the values of x, y, and z.
Murrr4er [49]

Answer:

z= 13

x= 36

y= 18

Step-by-step explanation:

Solving for z.

We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.

We can set both of those angles equal to each other, and solve for our missing side, z.

108= 8z+4

104=8z

z= 13

Solving for x.

We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.

We can set both of these angles equal to each other, and solve for our missing side, x.

3x=108

x= 36

Solve for y.

We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.

4y+108=180

4y= 72

y= 18

3 0
2 years ago
Evaluate the expression n-f x 8 if n= 84.15 and f=1.8
Gnesinka [82]
84.15-1.8*8
Order of Operations says to add and subtract before you multiply, so simplify the expression to: 82.35*8, which is 658.8
6 0
3 years ago
Simplify each expression by combining like terms. 1) 3y+4x-y+2x<br> 2) 3y+2+3x-y+5x
SVEN [57.7K]

Answer:

Step-by-step explanation:

1) 2y + 6x

2) 2y + 8x +2

8 0
3 years ago
It takes 3 2/6 spoons of chocolate syrup to make 3 1/2 gallons of chocolate milk. How many spoons of syrup would it take to make
Anit [1.1K]

Answer: 4 gallons require 5 5/39 spoons of syrup

Step-by-step explanation:

7 0
3 years ago
Writing expressions of lines ​
Sergeeva-Olga [200]

Answer:

fyysfyehFHayaursusrrw

5 0
3 years ago
Other questions:
  • Which wave would have the higher pitch? Question 7 options: B A
    6·1 answer
  • In a parking lot there630 cars 270 convertibles 360 minivans what is the ratio of cards to convertibles reduce your fraction to
    9·1 answer
  • What is the area of a square with a side of length 35
    5·2 answers
  • write an equation in slope-intercept form for the line that satisfies the following condition. passes through (12,-4), perpendic
    5·1 answer
  • PLEASE HELP
    5·1 answer
  • Given the function g(x)=4x+6 Find the value of x that makes g(x)=14 A.-50 B.-5 C.2 D.8
    10·1 answer
  • Will get brainliest!!!!!! Math
    12·1 answer
  • This is correct right?↓
    8·1 answer
  • Please Help !!!!!!!!!!!
    14·2 answers
  • Find the missing angles for each problem, given that lines a and b are parallel (step by step)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!