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
Stella [2.4K]
3 years ago
10

A boat that is 2 miles offshore from a lighthouse is moving parallel to the coast. The light on the lighthouse is turning at the

rate of 100 degree per minute.
How fast does the light appear to be moving when it hits the boat when the boat is 1 mile upshore from the lighthouse?
Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Answer:

speed of light movement when boat is 1 mile from light house is 0.029  miles/sec

Step-by-step explanation:

Given data:

distance of boat from light house is 2 miles

rate of turning of light is 100 degree per minute

w = 100 degree/min

w = 100 \times \frac{\pi}{180} rad/min

w = 1.745 rad/min

w = 0.0290 rad/sec

speed of movement of light v = w\times r

v = 0.029 \times 1 = 0.029 mile/sec

thus speed of light movement when boat is 1 mile from light house is 0.029  miles/sec

You might be interested in
40 POINTS !! 40 POINTS !!<br><br> PLEASE HELP , DONT SKIP !<br><br> NO LINKS OR FILES.
zloy xaker [14]

Answer:

Just click an x on the graph for each number in the chart.

1/4 would have 4 x's

2/4 would have 2 x's

3/4 would have 1 x

1 would have 2 x's

5 0
3 years ago
Help me with this :)))))))
lora16 [44]

Answer:

QR= 16

Step-by-step explanation:

HOPE THIS HELPS

3 0
3 years ago
Ivan and Tanya share £150 in the ratio 4: 1<br> Work out how much more Ivan gets compared to Tanya.
Dennis_Churaev [7]
Ivan gets £112.5(0) more than Tanya
7 0
2 years ago
Find x - y less than 0.
shutvik [7]
Is there any choices if not it could be 1 - 2 or abouve the first nuber x has to be smaller and y has to be bigger
4 0
3 years ago
Find the exact value of tan(x-y) if sin x=8/17 cosy = 3/5
jolli1 [7]

To solve the the question we proceed as follows:

From trigonometric laws

(cos x)^2+(sin x)^2=1

(cos x)^2+(sin x)^2=1

sin (x-y)=sin x sin y-sin y cos x

cos (x-y)=cos x cos y+sin x xin y

si  x=\frac{8}{17}

cos x=sqrt(1-(sin x)^2)=sqrt(1-64/289)=sqrt(\frac{225}{289} )=\frac{15}{17}

cos y=\frac{3}{5}

sin x= sqrt(1- (cos x)^2)= sqrt(1-\frac{9}{25} )=sqrt(\frac{16}{25} )=\frac{4}{5}

thus

tan (x-y)=[sin (x-y)]/[cos (x-y)]

=[sin x cos y-sin y cos x]/[cos x cos y+sin x sin y]

plugging in the values we obtain:

[8/17 *3/5-4/5*15/7]/[15/17*3/5+8/17*4/5]

simplifying

[24/85-60/85]/[45/85+32/85]

=-\frac{36}{77}

6 0
2 years ago
Other questions:
  • After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third
    6·2 answers
  • If u(x) = x^5 - x^4 + x^2 and v (x) = -x^2 which expression is equivalent to ( u/ v) (x)
    14·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%20-%20%20%5Cfrac%7B4%7D%7B10%7D%20%20%3D%20" id="TexFormula1" titl
    8·1 answer
  • a balloon at standard pressure is placed in a cool oven at 20 degrees celsius. the balloon is removed from the oven when the int
    8·1 answer
  • H(a) = a^2 + 3a; Find h(-10)
    6·1 answer
  • Please help me name the pairs of vertical angles
    9·2 answers
  • What is the volume of a rectangular prism that has a length of 15 mm, a width of 11 mm, and a height of 4 mm?
    13·2 answers
  • 1. What is the value of n in -57 - n = -144?<br> A-201<br> B-87<br> C 87<br> D 201
    9·2 answers
  • HELP ASAP!!! (WILL MARK BRAINLIEST)
    10·1 answer
  • It is given that set H such that n(H) = x and H has 8 subsets. Determine the value of x.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!