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
Paha777 [63]
3 years ago
11

Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the

top of the opposing wall is 20° and the angle of depression to the bottom of the opposing wall is 320 feet. Using the appropriate right triangle solving strategies, solve for the following: (Do not round intermediate calculated values. Only the final answer should be rounded to one decimal place.)

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

x is approximately 226.3 feet

y is approximately 308.6 feet

z is approximately 226.3 feet

Step-by-step explanation:

The given parameters of the walls are;

The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°

From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°

The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet

x = The height of the shorter wall = l × sin(θ₂)

∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet

∴ x ≈ 226.3 feet

By observation, we have;

y = x + z × tan(θ₁)

Where;

z = l × cos(θ₂)

∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6

y ≈ 308.6 feet

z =  l × cos(θ₂)

∴  z = 320 × cos(45°) = 160·√2 ≈ 226.3

z ≈ 226.3 feet.

You might be interested in
Mary is traveling cross country on a road trip. So far, Mary has traveled 200 miles in her car and 200 miles by train. The car t
VikaD [51]

Answer:

i dont know i think it is 11?!? srry if im wrong

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
How do you work this out?
Ira Lisetskai [31]
I'm guessing you find the length of the hypotenuse using the pythagorean theorem. 

a² + b² = c²     a and b are the legs and c is the hypotenuse

15² + 8² = c²

225 + 64 = c²

289 = c²

√289 = √c²

17 = c

hope that helps, God bless!
3 0
3 years ago
Read 2 more answers
Make an equation that is equal to 2/3
wariber [46]

Answer:

Replace the 4 with a 3 to make the equation true

5 0
2 years ago
Read 2 more answers
7) I am saving up for a video game. I currently have $28. If this is 30% of the
Snezhnost [94]

Answer:

93.3333333333 I think

7 0
2 years ago
25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distanc
sineoko [7]

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = \frac{y_2-y_1}{x_2-x_1}

                                = \frac{960-480}{2-1}

                                = 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

8 0
3 years ago
Other questions:
  • BRIANLIEST Helpppppppppbrisnsliest
    14·1 answer
  • Show steps solving this problem 173×797=
    7·1 answer
  • Terry has $2.30 can she buy for pencils that cost $.49 each
    10·2 answers
  • 2 Ella, James, and Ray's grandmother gave them $24 to divide equally. They spent the
    6·1 answer
  • What is the 6 term of the following geometric sequence (42,6,6/7,6/49)
    9·1 answer
  • Which linear equations does the graph show the solution to? Select all that apply. y = 2x + 13 y = –x – 2 y = 3x – 5 y = negativ
    10·2 answers
  • !!Giving 15 points and brainliest!!Based on the results of the second simulation, what is the experimental probability that a gr
    7·1 answer
  • Question 13 (1 point)
    5·1 answer
  • A map show a town with an area of 3.5 inches.If the map has a scale of 1 inch:4 miles,what is the actual area of the town?
    11·1 answer
  • !! WILL MARK BRAINLIEST!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!