answer.
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
devlian
1 month ago
9

You are hiking and trying to determine how far away the nearest cabin is, which happens to be due north from your current positi

on. Your friend walks 220 yards due west from your position and takes a bearing on the cabin of N 21.2°E. How far are you from the cabin
Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
6 0

Answer:

The cabin is located 567 yards away.

Step-by-step solution:

The bearing angle of 21.2° corresponds to the interior angle near the cabin in the triangle.

Apply the tangent function:

Opposite side length: 220 yards

Adjacent side length: x (distance to cabin)

tan(21.2°) = opposite / adjacent

tan(21.2°) = 220 yards / x

Multiply both sides by x:

x × tan(21.2°) = 220 yards

Isolate x:

x = 220 yards / tan(21.2°)

x = 220 / 0.388

x = 567 yards

Hence, the cabin is 567 yards away.

You might be interested in
Which would best display the following data if you wanted to display the numbers which are outliers as well as the mean? [4, 1,
AnnZ [12381]

Organizing the data in increasing order to find the outlier and compute the mean

Detailed explanation:

The provided data consists of: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

Arranging it in ascending sequence

                               [1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is identified as 32

Calculating the mean;

Mean=total of data set/quantity of data set

Total= 1 + 3+ 4+ 4+ 9+ 10+ 12+ 15+ 16+ 18+ 32=124

Quantity of data set=11

Mean=124/11=11.27

3 0
2 months ago
Do the political leanings of a network affect the news they report? During the the 2018-2019 Government shutdown, a left-leaning
PIT_PIT [12445]
Answer: 504 Step-by-step explanation: To find the result for the left-leaning poll, Total voters = 900 + 1100 = 2000. Voters who say Trump was responsible = 56% of 2000, which equals 1120. Voters who say otherwise = 44% of 2000, which amounts to 880. For this network, those who say Trump is responsible = 1120 × (900/2000) = 1008000/2000, resulting in 504 registered voters.
6 0
20 days ago
These graphs illustrate the demand of olive oil Match the non-price determinants of demand with the type of shift in the demand
AnnZ [12381]

Answer:

responses

type 1

a reduction in the price of alternative vegetable oils alongside an influx of olive oil producers into the market

type 2

a news report suggesting that olive oil consumption enhances health along with a decline in the supply of olives due to a disappointing harvest

Step-by-step explanation:

4 0
1 month ago
Read 2 more answers
Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve
tester [12383]
Marco requires $420 to purchase a new smartphone along with accessories. The equation 75-495=420 demonstrates this while adding $75 to $420 yields a total of $495.
4 0
23 days ago
Which table shows a function that is decreasing only over the interval (–1, ∞)? A 2-column table with 6 rows. The first column i
Inessa [12570]
B. f(x) ≤ 0 over the interval [0, 2]. D. f(x) > 0 over the interval (–2, 0). E. f(x) ≥ 0 over the interval [2, ).
8 0
1 month ago
Other questions:
  • A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b
    11·1 answer
  • Explain two ways you could solve 20 = 5(-3 + x)
    10·1 answer
  • N the diagram below, points $A,$ $E,$ and $F$ lie on the same line. If $ABCDE$ is a regular pentagon, and $\angle EFD=90^\circ$,
    13·1 answer
  • Interpret the graph to determine the statement the manager at a building supply store can use to help a customer determine how m
    14·2 answers
  • A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estim
    13·1 answer
  • Write the definition of a right angle in BICONDITIONAL form.*
    14·1 answer
  • Use technology or a z-distribution table to find the indicated area.
    12·1 answer
  • In the triangles, XY = MP and YZ = PN. Triangles Y X Z and P M N are shown. The length of side X Z is 23 inches. The length of s
    7·2 answers
  • Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make it a 12% detergent solution. which equation c
    15·2 answers
  • A vertical pole, 40 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the groun
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!