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]
2 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]2 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
Please help me with this thanks
Ronch [10]

If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.

If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.

If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.

So 3x = 4 (mod 5) when x = 3.

<h3>The final answer is C) 3</h3>

We don't need to check D since x = 3 is a solution and it's smaller than x = 4.

If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.

7 0
2 years ago
Review the table of a firefly population in a laboratory.
soldier1979 [14.2K]

Answer:

they're correct it's C

Step-by-step explanation:

i took the test

4 0
3 years ago
Read 2 more answers
If the product of a number and negative −3 is subtracted from the​ number, the result is 11 more than the number. find the numbe
Ierofanga [76]
The answer would be 2.2.

This sentence as an expression would be n - (-3n) = n + 11.
Solve it and you'll get 2.2!
8 0
3 years ago
Please answer right away
fenix001 [56]

The coefficient of determination is the first one. I'm pretty sure.

6 0
3 years ago
Find the value of x please and thank you
Pachacha [2.7K]

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

\angle DE F\cong \angle GEH          (Common angle)

\angle EDF\cong \angle EGH          (Corresponding angle)

\Delta DE F\sim \Delta GEH             (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

\dfrac{DE}{GE}=\dfrac{DF}{GH}

\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}

\dfrac{x+14}{x+5}=2

x+14=2(x+5)

x+14=2x+10

Isolating variable terms, we get

x-2x=-14+10

-x=-4

x=4

Therefore, the value of x is equal to 4.

3 0
2 years ago
Other questions:
  • You buy a shirt that costs $9.95. With tax, you pay $10.65. Write and solve an equation to find the amount of tax x you paid.
    7·1 answer
  • Please help!!! Don't understand how to solve
    9·1 answer
  • The cost of a product has been increasing each year.
    8·1 answer
  • In an algebraic expression, what separates the terms
    13·1 answer
  • Kelly is using a bucket to fill up a beer with water from a well. the barrel holds 25.5 liters. the bucket holds 800 millimeters
    9·1 answer
  • Use the formula d=rt to find the value of the missing variable. r=3 mph, t=9 hours find d= mi
    7·2 answers
  • Margo borrows $1700, agreeing to pay it back with 4% annual interest after 6 months. How much interest
    5·1 answer
  • Is every trapezoid a rectangle
    6·2 answers
  • Translate the sentence into an equation.
    9·1 answer
  • Help needed for this math question.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!