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
kolbaska11 [484]
2 years ago
6

A surveyor standing on top of a cliff found that the angle of depression of a boat as sea is 22°. if the top of the cliff is 15m

above sea level how far is the boat from the foot of the cliff?​
Mathematics
1 answer:
Alex73 [517]2 years ago
5 0

Answer:

From the photo above i interpreted the question and drew a triangle to make it easier to solve

Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)

Tan θ =Opp/Adj

Tan 22°=15/a

Cross Multiply

aTanθ=15°

Divide both sides by Tan 22

aTan22/Tan22 = 15/Tan 22

a = 15/Tan 22°

a = 37.13 m

Therefore the distance between the foot of the cliff to the boat is 37.13 metres

You might be interested in
What is the domain of the function y=2 sqrt x-5?
Irina-Kira [14]

Answer:

x greater than or equal to 5

4 0
3 years ago
Find the equation of this line
il63 [147K]

Answer:

y=x-3

Step-by-step explanation:

slope is 1

y int is -3

8 0
3 years ago
What is decimal 4 13/20
Evgesh-ka [11]
Hey is it 4.13 or 413??

3 0
3 years ago
The stock's value dropped from $38.50 to $34.00.What negative number shows the change in value?
Liula [17]
I believe that would be -4.50 for problems like this you subtract then add the negative sign in front
i'm surprised you are in high school i did this in 6th grade
7 0
3 years ago
Consider the figure. Determine the value of y.​
slava [35]

Answer:

47+ y = 180          (linear pair)

y = 133

6 0
3 years ago
Other questions:
  • What is the equation for this graph?
    10·1 answer
  • If b is the midpoint of ac and ac = 8x-20, find bc
    10·1 answer
  • Solve the equation using elimination. Write your answer as an ordered pair.
    9·1 answer
  • The slope-intercept form of a linear equation is y =mx +b, M is the slip of the line and b is where the line crosses the y-axis
    9·1 answer
  • Examine this expanded form.
    12·2 answers
  • Perrie invests £25000 for 3 years in a saving account. She gets 2.7% per annum compound interest. Calculate the total amount of
    11·1 answer
  • 2. Show work on how to solve for the following equation, and check your solution -5 2x-3 4 5x-5​
    5·1 answer
  • Jordan has a checking account. he withdrew $90 from an ATM Tuesday. Thursday he deposited $20. Friday he wrote a check for $15 w
    9·1 answer
  • Plot 1<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D" id="TexFormula1" title="\frac{2}{5}" alt="\frac{2}{5}" align="abs
    9·1 answer
  • Find the coordinates of centroid of a triangle whose vertices have coordinates (6,2);(- 3, 4); (3,- 9).
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!