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
lord [1]
3 years ago
11

Two scuba divers are 30m apart below the surface of the water. They both spot a shark that is below them. The angle of depressio

n from diver 1 to the shark is 52° and the angle of depression from diver 2 to the shark is 39°. How far is DIVER 1 from the shark?
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0

Answer:

distance of diver 1 from the shark ≈ 18.88 m

Step-by-step explanation:

The illustration forms a triangle. The base of the triangle which is their distance apart is given as 30 m . The known angle of the triangle are 52° and 39°. To find the unknown side we subtract the sum of 52° and 39° from 180°. Note that the total angle in a triangle is 180°.

Therefore,

180 - (52 + 39) = 180 - 91  = 89 °. Now the three angle of the triangles are 52°, 39° and 89°.

Using the law of sine we can find the distance of the diver 1 from the shark.

let a = distance of the first diver to the shark.

a/sin 39° = 30/sin 89°

cross multiply

a sin 89° = 30 sin 39°

divide both sides by sin 89°

a = 30 sin 39°/sin 89°

a = 30 × 0.62932039105 /sin 89°

a = 18.8796117315 /0.99984769515

a = 18.8824876258

a ≈ 18.88 m

You might be interested in
Which expression is equivalent to 18x + 45?
ivolga24 [154]
B is the answer because 9 times 2x is 18x and 9 times 5 is 45.
4 0
3 years ago
Read 2 more answers
Is Amber your name? nklnlllnjlklklnklklklnklnklnklnklnklnlklkklnlknklnklnklnklnklnklnklnkl
BartSMP [9]

Answer:

Step-by-step explanation:

no its peppa

3 0
3 years ago
Read 2 more answers
What is the value of x in 2/5(4x-3)-2x=4/5-x
gavmur [86]

Answer:

I think the answer is x = 10/3

Step-by-step explanation:

I hope this helps :)

3 0
3 years ago
What is the solution to the equation |x − 4| = 17?
andrey2020 [161]

~~~~~~|x-4| = 17\\\\\implies x -4 = 17~~~~ \text{or}~~~~~ x -4 = -17\\\\\implies x = 17+4~~~~\text{or}~~~~~ x = -17+4\\\\\implies x = 21~~~~~~~~~\text{or}~~~~~x = -13

8 0
1 year ago
I need help on these questions please divison with fractions
erica [24]
Charity will have 16 bags

3 0
3 years ago
Read 2 more answers
Other questions:
  • how many 16 oz bottles would be needed to hold the same total amount of water as 56 bottles that each holds 20 oz?
    14·2 answers
  • Write the equation of a line that is perpendicular to y= -1 and passes through the point (8,-4)
    13·1 answer
  • How many ways to make 1 dollar from pennies nickels, and dimes recurrence relation?
    7·1 answer
  • In a field of ducks and a dog someone counted 25 heads and 80 legs. How many dogs and ducks are there
    7·2 answers
  • Matidle is considering getting a credit card and using it instead of cash which of these is a good reason for her to do so
    9·1 answer
  • Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?
    5·2 answers
  • HELP ASAP GIVING BRAINLIST!!!!!!!!!!!!
    5·2 answers
  • Rewrite (7/9) ^-1 without an exponent
    8·2 answers
  • Find the surface area of a cylinder the has a base radius of 2 feet and the height of 14 feet
    9·1 answer
  • What is the closest point on the line y = 2x - 5 to (4, 8)?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!