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
slega [8]
3 years ago
10

Use the diagram below to answer the question.

Mathematics
1 answer:
Lunna [17]3 years ago
7 0

Answer:

The length of shadow is 69 foot.

Step-by-step explanation:

We are given a shadow of lighthouse.

Length of top of lighthouse to end of shadow is 90 ft.

Angle make at top of lighthouse is 50°

Distance from foot of lighthouse to end of shadow is x ft.

we need to find the length of shadow i,e x ft

Using trigonometry ration:

\sin\theta=\dfrac{P}{H}

\sin50^\circ=\dfrac{x}{90}

x=90\times 0.766

x=68.94\approx 69\text{ ft}

Hence, The length of shadow is 69 foot.

You might be interested in
3r+n^2-r+5-2n+2 simplify
andrey2020 [161]
3r+n^2-r+5-2n+2=n^2-2n+(3r-r)+(5+2)\\\\=\boxed{n^2-2n+2r+7}
4 0
3 years ago
Adam dropped a rubber ball from a window 40 ft above the sidewalk the ball always bounces half of the height that it drops how f
sergij07 [2.7K]

Answer:

The ball will reach a height of 5 ft by the 4th time.

Step-by-step explanation:

The initial height of the ball is 40 ft, when it bounces from the floor once the height will be 20 ft, the second time it'll be 10 ft, and so on. The sequence that can represent the maximum height of the ball after each bounce is:

{40, 20, 10,...}

This kind of sequence is called a geometric progression, in this kind of progression the next number is related to the one before it by the product of a constant called ratio, in this case 1/2. To calculate a specific position in this sequence we only need the ratio and the first number, using the formula below:

a_n = a*r^(n-1)

Where n is the position we want to know, a is the first number and r is the ratio. In this case we have:

a_4 = 40*(1/2)^(4-1) = 40*(1/2)^3 = 40/8 = 5

The ball will reach a height of 5 ft by the 4th time.

6 0
3 years ago
Can u guys help me plz
Lunna [17]
Set it up as a propotion and cross multiply. 10/23=15/x answer is 34.5
8 0
3 years ago
Simplify (7 – c)(–1)
Shkiper50 [21]

Answer:

-7 + C in other form, C + 7

Just open the bracket

4 0
3 years ago
Read 2 more answers
The perimeter of a rectangular garden is 120 feet The garden is two times as long as it’s why the system of equation can be used
Mandarinka [93]

Answer:

Step-by-step explanation:

Garden is two times as long as it is wide.

L = 2W

Perimeter is 120 feet

2L + 2W = 120

L +W = 60

(2W) + W = 60

3W = 60

W = 20 feet

L = 2W = 40 feet

7 0
3 years ago
Other questions:
  • The perimeter of a triangle is 33 centimeters. The first side is 5 centimeters shorter than the second, and the third is twice t
    5·1 answer
  • In a circle with a radius of 27 2/5 in., an arc is intercepted by a central angle of 7π/4 radians.
    14·2 answers
  • Every year, Calaveras County holds a frog jumping contest. Mia entered her frog into the 100-yard contest and it completed the r
    12·1 answer
  • Can I get help on this math question I will mark brainliest if correct plus 15 points.
    11·2 answers
  • 1f 2 sweaters cost $27.34, how much would 7 sweaters cost? The cost for 7 sweaters is s .
    9·1 answer
  • Calculate 1/3 of 50 cm<br><br> Plssss helpppp solve....
    14·2 answers
  • For every how many degrees will a pentagon have rotational symmetry?
    14·2 answers
  • Please help me and ill mark you as brainlest ;)!
    15·1 answer
  • I ready diagnostic time!!
    13·1 answer
  • HELP!!!! If u answer in less then 4 minutes i will give lots of points! PLEASE
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!