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
GalinKa [24]
3 years ago
6

An aeroplane flies 138 km in a southerly direction from a military air base to a drop-off point The drop-off point is 83 km west

of the the bearing, correct to the nearest air base. Find degree, of:
A) the drop-off point from the air base
B) the air base from the drop-off point.

Mathematics
2 answers:
vlada-n [284]3 years ago
7 0
We are given: 

138 km south 
83 km west of the bearing is the drop-off point.

First, we need to illustrate the problem to clearly see the pattern.

A triangle is formed, 138 km down, then 83 km left. 

c^2 = 138^2 + 83^2 
c = 161.04 km

The angles are determined using Pythagorean Theorem:

a) 217 degrees 
b) 31 degrees
Alex787 [66]3 years ago
4 0

Answer:

A) the drop-off point from the air base : 31°  towards South West

B) the air base from the drop-off point : 59° towards North East

Step-by-step explanation:

Please refer to the image attached to the answer. Here we see that the Air base , The drop-off point and the south direction makes an right angle Triangle.

We are asked to find the angles x and y as shown in the figure. We use trigonometric ratios to determine them.

We know that in a right Triangle

\tan \theta=\frac{opposite}{adjacent}

Hence

\tan x=\frac{83}{138}

\tan x = 0.60

x=\tan^{-1} (0.60)

Using calculator

x=30.96

x=31 Approximately

Also the sum of all the angles in a right triangle is 90°. hence

y=180-90-31

y=59

hence we have our x and y as 31° and 59°  

You might be interested in
Alg 2 please add explanation
irina [24]

Answer:

The answer is B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the given term 11, -33,99 9th term
kvv77 [185]
Assuming the sequence goes on like this 11,-33,99,-297,891,...,
its general formula is a_n=-11\cdot(-1)^n\cdot3^{n-1}

So, the 9th term is
a_9=-11\cdot(-1)^9\cdot3^{9-1}=-11\cdot(-1)\cdot6561=72171
5 0
2 years ago
Angel is x years old, in 15 years how old will Angel be?
Verizon [17]

The age would increase by 15 years that is, x+15

8 0
3 years ago
Gill creates a model prism using 22 unit cubes. What is the volume of the prism?
jolli1 [7]
You could do V = b × H 2 × 11 = 22
8 0
3 years ago
Sue initially has 5 hours of pop music and 4 hours of classical music in her collection. Every month onwards, the hours of pop m
Snezhnost [94]
<h2>Answer</h2>

f(x) = 5(1.25)x + 4

<h2>Explanation</h2>

To solve this, we are going to use the standard exponential equation:

f(x)=a(1+b)^x

where

a is the initial amount

b is the growth rate in decimal form

x is the time (in months for our case)

Since the hours of classic music remain constant, we just need to add them at the end. We know form our problem that Sue initially has 5 hours of pop, so a=5; we also know that every month onward, the hours of pop music in her collection is 25% more than what she had the previous month, so b=\frac{25}{100} =0.25. Now let's replace the values in our function:

f(x)=a(1+b)^x

f(x)=5(1+0.25)^x

f(x)=5(1.25)^x

Now we can add the hours of classical music to complete our function:

f(x)=5(1.25)^x+5

6 0
3 years ago
Read 2 more answers
Other questions:
  • In triangle QRS, QR = 2x + 5, RS = 3x - 1, and SQ = 5x. Solve for x.
    7·1 answer
  • A Cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddies c
    14·1 answer
  • How to write 6,858.026 in expanded form
    13·2 answers
  • Which best describes the relationship between the successive terms in the sequence shown?
    7·2 answers
  • Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2
    5·1 answer
  • What is prime factorization
    7·1 answer
  • Write in standard form.<br> 4y - 3 = 6x + 6
    5·2 answers
  • Pls decipher the code. Will give brainliest for correct answer tyyyyy
    15·1 answer
  • HELP GIVING 20 POINTS
    15·2 answers
  • FOR AN EXAM DUE TODAY!!!<br><br> Simplify the polynomial.<br> 3x – 2x2 + 4 – x2 + x<br> +<br> -
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!