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
irina1246 [14]
3 years ago
8

The captain of a ship at point A and sailing toward point B observes a lighthouse at L and finds angle LAC to be 36*30'. After s

ailing 5 km to B, he observes angle LBC to be 73*. How many kilometers is position B from the lighthouse?

Mathematics
1 answer:
wel3 years ago
6 0

Answer:

The distance between B and lighthouse is 3.8688 km

Step-by-step explanation:

Given:

The angle made from ship to lighthouse is 36.5 degrees

and that of point B is 73 degrees.

To Find:

Distance  Between Point B and Lighthouse

Solution:

<em>Consider a triangle LAB(Refer the attachment )</em>

And Point C is on the line AB as A i.e. ship is sailing to B

So C is at 5 km from A.

Now In triangle LAC,

Using Trigonometry Functions as ,

tan(36.5)=LC/AC

LC=tan(36.5)*AC

=0.7399*5

=3.6998 km

Now In triangle LBC,

As,

Sin(73)=LC/LB

LB=LC/(Sin(73))

=3.6998/0.9563

=3.8688 km

LB=3.8688 km

You might be interested in
Pls help will give brainliest!!
klio [65]

25 × 4 = 100 - the number of all candies

2/5 of 100 is

\dfrac{2}{5}\cdot100=\dfrac{200}{5}=40

The third model is shaded to show the total number of caramel candies in 4 bags.

6 0
3 years ago
This is due NOW and I’m FREAKING OUT OMG PLEASE HELP......
Wewaii [24]

Answer:

13: Skew

14: Parallel

16: Intersecting

17: Skew

18: No

19: Yes

20: No

21: Yes

Step-by-step explanation:

Skew is when 2 lines dont intersect, nor are parallel (On different planes)

Parallel is when 2 lines are on the same plane, and will never touch

Intersecting is when any set of given points go through each other

8 0
3 years ago
M<br><img src="https://tex.z-dn.net/?f=m%20%7B2%7D%20%20%20-%20m%20-%202%20%3D%200" id="TexFormula1" title="m {2} - m - 2 = 0"
Serjik [45]

Answer:

m=2-2

m=0

Step-by-step explanation:

U need to do substitution

So u carry both 2 from that side to cross the equal to sign. One becomes positive because it is carrying a negative sign at the other side

4 0
3 years ago
Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.
FromTheMoon [43]

Answer:

x=1.578

Step-by-step explanation:

Given equation is 3-x = 3(6x-9)

We need to find the value of x

3-x = 3(6x-9)

Distribute 3 in the right-hand side  

3-x=18x-27

Add both sides x

3-x+x=18x+x-27\\3=19x-27

Now, add both sides 27

3+27=19x-27+27\\30=19x

Divide both sides by 19

\frac{30}{19}=\frac{19x}{19}\\x=1.578

So, x=1.578

5 0
3 years ago
Does 2/3 and 10/16 form a proportion? explain
Romashka [77]
No because you would not be able to divide them by a number and get the same answer so no they are not proportional
5 0
3 years ago
Read 2 more answers
Other questions:
  • Isabel is making lemonade for a party with 12 guests. She wants to make equal servings that are at least 2 cups each. She makes
    8·2 answers
  • If you jogged a trail that is 3/4 mile long and jogged 1/6 of a hour What would be the unit rate per mile
    7·1 answer
  • Of 2012 consumers polled, some like only animated movies, some prefer just musicals, and some like both. If 74 people like only
    5·1 answer
  • Doris put $4000 in a 2-year CD paying 6% interest, compounded monthly. After 2 years,she withdrew all her money. What was the am
    8·2 answers
  • -|5*-2+2|+|3*3+2*-4.2
    13·1 answer
  • Malcolm and Theo's families are both traveling to the same vacation resort.
    14·1 answer
  • A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is
    7·1 answer
  • To what power must you raise the expression <br> 7<br> 1<br> 2<br> to get 7 as the result?
    5·1 answer
  • PLS HELP I NEED HELP<br> What is the area of this shape?
    5·1 answer
  • Solve for the missing side of the triangle.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!