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
Leto [7]
3 years ago
8

A Scout on top of a 1500-ft. mountain spots a campsite.

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Answer: The distance from the campsite to the foot of the mountain is 2310 ft (approx)

Step-by-step explanation: We have been given that the scout on the mountain top has spotted a campsite and he did so while looking down from a 33° angle of depression. If we label his position as point A, the foot of the mountain as point B and the campsite as point C, then it means the scout has formed an angle of 57° between point A and point B. Now we have a right angled triangle ABC with angle A measuring 57°

Using the trigonometrical ratio of tangent

Tan A = opposite/adjacent

Tan 57 = BC/1500

1.5399 = BC/1500

When you cross multiply both sides you have

1.5399 × 1500 = BC

2309.85 = BC

Approximated to the nearest foot,

BC = 2,310 ft

You might be interested in
Which of the following integrals represents the area of the region bounded by x = e and the functions f(x) = ln(x) and g(x) = lo
Neko [114]

Notice that

\log_{1/e}x=\dfrac{\ln x}{\ln\frac1e}=\dfrac{\ln x}{-\ln e}=-\ln x

f(x)=\ln x and g(x)=-\ln x intersect when x=1. For all x>1, we have \ln x>0 and -\ln x, so f(x)>g(x). Then the area we want is given by the integral,

\displaystyle\int_1^e\ln x-(-\ln x)\,\mathrm dx=2\int_1^e\ln x\,\mathrm dx

or in terms of \log_{1/e}x,

\displaystyle\int_1^e\ln x-\log_{1/e}x\,\mathrm dx

5 0
3 years ago
a man uses 60 litre of petrol for a journey of 750 km how many litres will be used for a journey of 350 km​
andrew11 [14]

Answer:

28 litres

Step-by-step explanation:

60l/750km = .08

.08 litres used per kilometer

.08*350km = 28l

6 0
3 years ago
Read 2 more answers
Do es compoumd interest have more of an impact for short-term​
Bezzdna [24]

Answer:

As the principal, interest rate, and compound periods increase, so does the future value of an investment. It doesn't matter if you are just putting some money into short-term, low rate savings accounts or CDs or long-term, higher return investments, compound interest will work for your benefit if you allow it.

Step-by-step explanation:

#LetsStudy

3 0
3 years ago
Read 2 more answers
NEED NOW PLEASE..........
Arada [10]

Answer: C. -12 - 3 + 9

Step-by-step explanation:

-12 because the fish are 12 m <em>below</em> the ocean.

-3 because the fish swim <em>down</em>.

+9 because the fish swim <em>up</em>.

8 0
3 years ago
Write the sum using summation notation, assuming the suggested pattern continues.
Allushta [10]

Answer:80

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • For what value of a does (1/9)^a+1 =81^a+1 x 27^2-a ?<br><br>-4<br>-2<br>2<br>6
    6·2 answers
  • taki has her back to a wall. she starts to walk straight forward. she stops and turns 133° to the right and walks back in this d
    11·1 answer
  • 5 red balls, 8 blue and 7 yellow. What % blue?
    13·1 answer
  • Write and solve a real-world problem that can be modeled by the equation 0.75 - 18.50 = 0.65x
    7·1 answer
  • 16. How many hundreds are there in a Crore? Write it.​
    9·2 answers
  • Q2) A meat pie contains chicken and turkey in the ratio 4 : 1.    ( 3 marks)
    7·1 answer
  • To paint a house, a painting company charges a flat rate of 500$ for supplies, plus 50$ for each other hour of labor
    8·1 answer
  • Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number o
    15·1 answer
  • Evaluate the expression -2​
    14·1 answer
  • The diagram below shows the diameter of a circular stump. Which of the following is closest to the circumference of the stump? A
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!