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
olga_2 [115]
3 years ago
15

A helicopter hovers at an altitude that is 1000 feet above a mountain of altitude 5210 feet. A second, taller peak is viewed fro

m both the mountaintop and the helicopter. from the helicopter, the angle of depression is 43, and the mountaintop, the angle of depression is 19 degree. how far apart are the mountain peaks? what is the altitude of the taller peak?
Mathematics
1 answer:
ehidna [41]3 years ago
6 0
Given: 

Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
       Mountain B to helicopter = 43 degrees
       Mountain B to Mountain A = 19 degrees
 
 First, draw an illustration and label the enumerated given values.

Observe that there are two right triangles formed:

From the triangle formed by the helicopter and Mountain B, 

let x = total height of mountain B
     y = leg of first triangle (helicopter and mountain b)
     h = hypotenuse
Use the Pythagorean Theorem:

cos (43) = y / h

From the second triangle formed by mountain b and a,

cos (19) = (1000 + y) / h

solve for h and y

then, solve for the height of Mountain B:

x = 1000 + y + 5210
You might be interested in
20 feet minus 10 inches= ? inches
Ann [662]
I think it's 230 inches
Cheers :3
3 0
3 years ago
Read 2 more answers
Complete the equation: x2 + 8x + __ = (__)^2
Setler79 [48]

Answer:

B

Step-by-step explanation:

16,x+4

by completing square formula

6 0
3 years ago
Please help, please briefly explain, (awarded brainliest)
anastassius [24]

Answer:

A

Step-by-step explanation:

Its basically whatever point(s) meet exactly the on the x axis

4 0
3 years ago
Read 2 more answers
Help me please thank you
mars1129 [50]

Answer:

x = 7

Step-by-step explanation:

The angles are alternate interior angles, so for the lines to be parallel, the angle measures must be equal.

7x - 7 = 4x + 14

3x = 21

x = 7

3 0
3 years ago
Ms. Masse's biology class is conducting an experiment
olga_2 [115]
2 + 2 + 2 + 2 + 2 = 10
Five days

2 + 2 + 2 + 2 + 2 + 2 + 2 = 14
Full week

10 x 2 = 20

14 x 2 = 28

The bacteria will double every day for a total of 20/28 bacteria on the last day.
6 0
2 years ago
Other questions:
  • Choose the correct ordered pairs represented in the table. The following table gives per unit cost for furniture and shows selli
    9·1 answer
  • Mylar balloons cost $1.25 each l, and latex balloons cost $0.75 each. What equations can be used to find the number of each type
    11·2 answers
  • Simplify the following expression. 2x-5(2x-7y+3)+(-8)
    13·2 answers
  • A music store charges $18.50 for a CD plus a 0.5% city tax and a separate 4% state tax
    5·1 answer
  • (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i)
    15·1 answer
  • 2x - 5y – z = 20<br> -3.x - 3y + 33 = 9<br> -2x - 2y - 43 = -24
    8·1 answer
  • Please factorise the equations in the doc bellow ASAP. please show full working
    7·2 answers
  • Find the value of x.
    14·1 answer
  • This probability distribution shows the typical grade distribution for a Geometry course with 35 students. Find the probability
    11·2 answers
  • If a barrel averages 50 pounds and a crate 160 ​pounds, write an inequality that describes when x barrels and y crates will caus
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!