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
sasho [114]
2 years ago
6

Simon's dog jumped into a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to m

eet the dog.
part a how long is the bridge, in feet?
part b how many feet did the dog swim?
Mathematics
1 answer:
artcher [175]2 years ago
7 0

The length of the bridge is 12.12 feet.

The length the dog swam is 32.36 feet.

The situation forms a right angle triangle.

<h3>What is a right angle triangle?</h3>

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.

The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.

Therefore,

Let's find the length of the bridge as follows:

tan 68° = opposite / adjacent

tan 68° = 30 / l

cross multiply

l = 30 / tan 68

l = 12.1212121212

length of the bridge = 12.12 ft

The length the dog swim is as follows:

sin 68°= opposite / hypotenuse

sin 68° = 30 / h

h = 30 / sin 68

h = 32.3561767942

The distance the dog swimmed = 32.36 ft

learn more on right triangle here: brainly.com/question/22734914

You might be interested in
G(x) equals what? PLEASE HELP ME!!!
Nonamiya [84]
G(x) is an absolute value function. The standard form for an absolute value function is f(x) = |x|.

The slope of this is equal to -6/-4 or 3/2.

It is flipped over the x-axis, so it will have a negative value out front.

g(x) = -3/2|x| is the equation for this graph.
8 0
3 years ago
Read 2 more answers
The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free thro
mina [271]

Answer:C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D
-Dominant- [34]

By iteratively substituting, we have

a_n = a_{n-1} + n

a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)

a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)

and the pattern continues down to the first term a_1=0,

a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))

\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)

\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k

Recall the formulas

\displaystyle \sum_{n=1}^N 1 = N

\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2

It follows that

a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2

\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1

\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}

4 0
2 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
kobusy [5.1K]

Answer:

3 and 7

2 and 6

4 and 8

1 and 8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is 220086*567890
charle [14.2K]

Answer:

124984638540

Step-by-step explanation:

just use a calculator

8 0
3 years ago
Other questions:
  • The average weight of a midsize car is 1 3/4 tons. The average weight of a compact car is 6/7 of the weight of a midsize car. Ho
    14·1 answer
  • What is the value of the expression? 25−12÷[(8−5)×1] Enter your answer in the box.
    7·1 answer
  • Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h
    7·1 answer
  • five states in a country have 4 star hotels. Assume the country has 50 states. (a) what fraction of the states can claim at leas
    10·1 answer
  • Help me fill the blank
    11·1 answer
  • How much does mike charge a new customer to ship a package that weighs 50 pounds ? He chargers $40 per pound.
    14·1 answer
  • If an electrician charges $60 an hour and a base fee Of 150 for every house call. Write an equation foR C, in terms of t, res pr
    9·1 answer
  • Can someone please help me
    7·1 answer
  • Graham deposited $400 in an account that earns 5% annual compounded annually. How much interest will the account earn after 4 ye
    13·2 answers
  • Please help 13 MATH PROBLEM
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!