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
Yuki888 [10]
3 years ago
10

A person sights a boat from 235 feet above sea-level as shown. If the angle of depression from the man to the boat is 21 , then

determine the boat's distance to the edge of the cliff to the nearest ten feet.
Mathematics
2 answers:
Rzqust [24]3 years ago
7 0

Answer:

The distance of the boat from the edge of the cliff is 655.75 ft

Distance of the boat from the base of the cliff is 251.72 ft

Step-by-step explanation:

Height of person above sea level = 235 ft

Angle of depression of sight to the boat from the person = 21°

Therefore, based on similar angle between person and angle of depression and the boat with angle of elevation we have,

Angle of elevation of the location of the person as sighted from the boat θ = 21°

Distance from the edge of the cliff of the boat is then given by;

Sin\theta = \frac{Opposite \, side \, to\,  angle}{Hypothenus\, side \, of\,  triangle} = \frac{Height\, of\, person\,  above \, ses \, level}{Distance\, of\, boat\,  from \, edge\, of \, cliff}

Sin21 =\frac{235}{Distance\, of\, boat\,  from \, edge\, of \, cliff}

Distance\, of\, boat\,  from \, edge\, of \, cliff=\frac{235}{Sin21 } = \frac{235}{0.358} = 655.75 \,  ft

Distance of the boat from the base of the cliff is given by

Distance\, of\, boat\,  from \, base\, of \, cliff=\frac{235}{cos21 } = \frac{235}{0.934} = 251.72 \,  ft.

Evgen [1.6K]3 years ago
4 0

Answer:

B = 612.2 ft

Step-by-step explanation:

Solution:-

- The elevation of person, H = 235 ft

- The angle of depression, θ = 21°

- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.

- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.

                             tan ( θ ) = H / B

                             B = H / tan ( θ )

                             B = 235 / tan ( 21 )

                             B = 612.2 ft    

You might be interested in
Help with #4!!! I’ve tried to figure it out but I can’t.
Virty [35]

Answer:

a

Step-by-step explanation:

all you do is divied the top then you take from

3 0
2 years ago
Read 2 more answers
Help with number 16 (15 points!)
masha68 [24]

Answer:

-5≥x≤-1

Step-by-step explanation:

comment if you would like an explanation for this.

6 0
3 years ago
B Given: m AB =m BC , m∠x=60°, m∠y=15° Find: m AC
MArishka [77]

Answer:

105

Step-by-step explanation:

because all the angles added up have to = 180

60+15=75

75-180=105

3 0
3 years ago
A card is drawn from a stands 52 card deck what is the probability that the card is a red card, or that it is a ten of clubs or
marusya05 [52]

Answer:

d. 15/26

Step-by-step explanation:

5 0
3 years ago
A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 11 hours?
Scorpion4ik [409]

Answer:

The jet will cover 2585 miles in 11 hours.

Step-by-step explanation:

Given that:

Distance travelled by jet in 2 hours = 470 miles

Speed of jet = \frac{Distance}{Time}

Speed of jet = 470/2

Speed of jet = 235 miles per hour

Time = 11 hours

Distance travelled in 11 hours = Speed * Time

Distance = 235 * 11

Distance = 2585 miles

Hence,

The jet will cover 2585 miles in 11 hours.

8 0
3 years ago
Other questions:
  • Mexico City, Mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected gro
    11·1 answer
  • Which ex press ion shows the perimeter of the quadrilateral below?
    13·2 answers
  • You can refer to the top right for the correct answers for the both questions respectively, i have tried to no avail.
    10·1 answer
  • Consider the following hypothesis test.H0:μ1−μ2=0 Ha:μ1−μ2≠0The following results are for two independent samples taken from the
    8·1 answer
  • Given g(x) = f(x) + k. Identify a value of k that transforms finto g. Round your answer to the nearest integer. g 2 X - 14 -2 O
    6·1 answer
  • Can someone help or explain the problem to me
    8·1 answer
  • A) If 8* =<br> 1<br> 64<br> find the value of x.
    6·1 answer
  • What is the sale price of a bottle of olive oil originally priced at $6?
    8·1 answer
  • What is the value of 7x (3x + x), when x = 8? (PLEASE show work/include image) or just answer the question but be specific PLEAS
    8·2 answers
  • PLS HELP ILL GIVE BRAINLIEST
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!