A bird flying at an altitude of 50 feet spies a worm in the ground up ahead. How far must the bird travel to the worm if the angle of depression from the bird to the worm is 56°?

Answers

Answer 1

Answer:

33.7 ft

Step-by-step explanation:

We solve the above question using Trigonometric function of Tangent

tan θ = opposite/adjacent

θ = 56°

Opposite = 50 ft

Adjacent = x

Cross Multiply

tan 56 = 50 ft/x

Cross Mulitiply

tan 56 × x = 50ft

x = 50ft/tan 56

x = 33.725425842 ft

Approximately = 33.7 ft

The bird must travel 33.7 ft to meet the worm


Related Questions

Martin paid $6 for4 avocados at a farm stand. He wants to know what the price would be if he bought 6 avocados

Answers

it would be $9 for 6 avocados

Answer:

$9

Step-by-step explanation:

divide 6/4 to get the price per avacado so its $1.5 per avacado.

multiply 1.5 x 6 = 9

5. Each polygon circumscribes a circle. Find the perimeter.

1.9 in.

3.7 in.

in

3.6 in.

A) 14.2 in

B) 16.8 in

C) 18.2 in

D) 20.1 in

Answers

See the diagram of the circumscribed polygon attached below:

Answer:

A. 14.2 in.

Step-by-step explanation:

Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + g

Let's find g.

a = 1.9 in. (Tangents drawn from an external point of a circle are congruent)

b = 3.4 - 1.9 = 1.5 in.

b = c = 1.5 in. (Tangents drawn from an external point)

d = 3.6 - 1.5 = 2.1 in.

d = e = 2.1 in. (Tangents drawn from an external point)

f = 3.7 - 2.1 = 1.6 in.

f = g = 1.6 in. (Tangents drawn from an external point)

✔️Therefore,

Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + 1.6 = 14.2 in.

PQR is congruent to JKL.

Which sequence of transformations maps
PQR onto JKL?

Answers

Reflection over the y axis and a translation 2 units down.

guys answer fastyyytytttttt

Answers

Answer:

1/4

Step-by-step explanation:

there are 2 footballers

and 8 other sports

therefore, 2/8 or 1/4

Solve for the length of x

Answers

Answer:

[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]

Step-by-step explanation:

This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.

sinθ= opposite/hypotensue cosθ= adjacent/hypotenuse tanθ= opposite/adjacent

We are given angle A which measures 37 degrees.

Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.

We should use tangent.

[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]

[tex]tan37= \frac {48}{x}[/tex]

Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.

[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]

[tex]tan37*x=48*1[/tex]

[tex]tan37*x= 48[/tex]

x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.

[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]

[tex]x= \frac{48}{0.7535540501}}[/tex]

[tex]x=63.69815144[/tex]

Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.

[tex]x\approx 63.7[/tex]

The unknown side is approximately 63.7 units long.

Please help! Thanks in advance!!

Mrs. Smith has a 34-pound bag of sugar to use for 6 cakes. How much sugar, in lbs, is used for each cake? Round your answer to the hundredths

Answers

Answer:

5 2/3 pound of 1 cake

Step-by-step explanation:

34 / 6 =

(30 / 6) + (4 / 6) =

5 + 2/3 =

5 2/3

There are 5.67 lbs of sugar used in each cake

select the graph that matches the function y=3x+7

Answers

Answer:

the second option

Step-by-step explanation:

HELP ASAP PLEASE I'LL MARK BRAINLIEST ​

Answers

Answer:

the answer is C

Each card in a set of cards has one of the letters from the word MATHEMATICS. The cards are shuffled. Suppose you draw a card from the set of cards, record the letter, return the card to the set, and shuffle the cards. You repeat this experiment 22 times. Would you expect the experimental probability of drawing a vowel to be the same as the theoretical probability? YES or NO and Explain you answer

Answers

Answer:

No

Step-by-step explanation:

Theoretical probability is the expected probability of anything. For example we expect a probability of 1/6 for each number when we roll a die .

Experimental Probability is the one that is obtained by the actual experimenting of rolling the die.

The theoretical probability is the example of perfect probability and experimental probability  is the example of actual occurrence.

Their formulas are

Theoretical Probability = number of possible outcomes/ total number of possible outcomes

Experimental Probability =  number of favorable outcomes/ total number of actual outcomes

If we a roll a fair die several times we may get 2 repeated number of times or any other number that is on the die.

So the experimental probability is bit different from the theoretical probability.

Now if the cards are shuffled and the experiment is repeated 22 times

experimental probability of drawing a vowel  would not  be the same as the theoretical probability because n is small.

If n→1000 or more

n→∞

According to K. Pearson or Buffon when n tends to infinity the  theoretical probability becomes equal to experimental probability.

They experimented this on a coin and put forward their results.

the variable term in 2 to the third power - 4 is

Answers

Answer:

-4²

Step-by-step explanation:

QU | RT. Find TU.
Help plz...No links!! I will report!!

Answers

Answer:

34

Step-by-step explanation:

We solve the above question using Triangle Proportionality Theorem

This states that:

TU : TS = QR : RS

TU/TS = QR/RS

TU = ?

TS= 17

RS = 13

QR = 26

Hence,

TU/7 = 26/13

Cross Multiply

13 × TU = 17 × 26

TU = 17 × 26/13

TU = 17 × 2

TU = 34

Therefore, TU = 14

The school that Sarawong goes to is selling tickets to a play. On the first

day of ticket sales the school sold 13 senior citizen tickets (s) and 5 child

tickets (c) for a total of $125. The school took in $85 on the second day

by selling 5 senior citizen tickets and 5 child tickets. What is the price

each of one senior citizen ticket and one child ticket?

Write the two equations to solve the system first. Use s for senior

citizens and use c for child. Show all work using the method you prefer.

Equations:

Answers

Answer:

12s + 5c = 125

5s + 5c = 85

price of senior citizen ticket = $5.71

price of a child's ticket = $11.29

Step-by-step explanation:

This question can be solved using simultaneous equation

12s + 5c = 125 equation 1

5s + 5c = 85 equation 2

subtract equation 1 from 1

7s == 40

s = 40/7 = 5.71

Substitute for s in equation 1

12(5.71) + 5c = 125

68.57 + 5c = 125

5c = 125 - 68.57

5c = 56.43

c =11.29

35/z=20/4 solve the proportion

plz help me solve this ​

Answers

Answer:

35 / 7 = 20 / 4

Step-by-step explanation:

20 / 4 equals to 5

35 / 7 equals to 5

Two partners are starting a new business. The total investment is $52,000.
Their investments are in the ratio 3:7. How much does each investor contribute?

Answers

Answer:

One partner will pay $15600 and the other would pay $36400

Step-by-step explanation:

52000 ÷ (3 + 7) =

52000 ÷ 10 =

5200

5200 x 3 = 15600

5200 x 7 = 36400

I’m not sure how to solve, what do I need to do??

Answers

Answer:

Step-by-step explanation:

It's helpful to draw it out, but you need a calculator for this.

You have the values of line b, line c, and angle C.

You can use sinC / c since you have C and c.

Solve for sinB by doing sinB/5.7 = sinC/8.6

you'll get the value of sinB, use inverse trig to solve for B (sin^-1)

Then you'll have the angle values for C and B. Add them, and subtract by 180 to find the angle measure of A.

Use the steps above to find a:

sinA (which u just found) / a = sinC (125) / c (8.6)

Hope this helps.

PLEASE HELP ME WITH THIS

Answers

Answer:

2.a..A=1/2 ×1.0×2.4=1.2m²

b.area of rectangle button=l×w=2.4×2.8=6.72m²

c.area of back =l×w=1.0×2.8=2.8m²

d.area of top =l×w=2.8×2.6=7.28m²

3.

total area =2×area of traingular side +area of rectangle button+c.area of back+area of top

=2×1.2+6.72+2.8+7.28=19.2m²

4.Assumption

total area of triangular prism is

sum of area if each faces.

sorry if the lighting is bad
it's about number lines
no links

Answers

1st graph all the negative & positive numbers

The opposite of 2 is -2 because it's a negative number ( opposite of 2 )

PLEASE HELP!!!!

Given f(x).... what is lim f(x)?

Answers

Answer:

[tex] \pi[/tex]

Step-by-step explanation:

[tex] Lim_{x \to\pi} f(x) [/tex]

[tex] =Lim_{x \to\pi} \pi [/tex]

([tex] \because for\: x =\pi, \: f(x) = \pi[/tex])

[tex] = \pi [/tex] (Applying limit)

X désigne un nombre quelconque. Exprimer à l'aide d'une expression littérale : a. La somme de x et de 12 b. Le produit de x par 5 c. La différence entre 17 et x d. Le quotient de x par 9

Answers

Answer:

L'expression littérale est la suivante

a) La somme de x et 12 b

Solution

X + 12b

b) Le produit de x par 5

Solution

X * 5

c) La différence entre 17 et x

Solution

17-X

d) Le quotient de x par 9

X / 9

Step-by-step explanation:

L'expression littérale est la suivante

a) La somme de x et 12 b

Solution

X + 12b

b) Le produit de x par 5

Solution

X * 5

c) La différence entre 17 et x

Solution

17-X

d) Le quotient de x par 9

X / 9

What type of model does the data suggest?

Answers

Ccccccccccccccccccccc

If a vector V is in standard position and the tip of the vector corresponds to the point (a, b), then we can write the vector in component form as

Answers

Answer:

[tex]V = <a,b>[/tex]

Step-by-step explanation:

Given

[tex]P= (a,b)[/tex] --- Point

Required

Component of V

From the question, we understand that V is in standard position.

This implies that V starts at the origin (0,0) and ends at (a,b)

So, vector V is:

[tex]V = <P(a,b) - O(0,0)>[/tex]

This gives:

[tex]V = <a-0,b-0>[/tex]

[tex]V = <a,b>[/tex]

In the first quarter of the game,the giants gained 5 yards,lost 13 yards,gained 2 yards,gained 6 yards and,unfortunately,lost 12 yards in their final play.

1.Use a number line to depict the Giants' activity in the first quarter.

2.Use addition only to illustrate the Giants' activity in the first quarter.

3.What was the net yardage for the Giants in the first quarter.

Answers

Answer:

5 + (-13) + 2 + 6 + (-12) ;

-12 yards

Step-by-step explanation:

5 yards gain = + 5

13 yard loss = - 13

2 yards gain = + 2

6 yards gain = + 6

12 yards loss = - 12

Using addition Rule :

5 + (-13) + 2 + 6 + (-12)

The net yardage :

5 - 13 + 2 + 6 - 12 = - 12

Net yardage = - 12 yards

Mr. Bates and Mr. Z want to refinish the community center gym floor. The rectangular floor is 15.2 m wide and 25.6 long. If each gallon of polyurethane covers about 180 square meters, how many gallons should Mr. Bates and Mr. Z buy? *

Answers

Answer:

3 gallons

Step-by-step explanation:

area = 15.2 x 25.6 = 389.12 m²

389.12/180 = 2.16

The perimeter of a rectangular building is 462 meters. It is 131 meters long. How wide is it?

Answers

100 metres

131 x 2 = 262
462 - 262 = 200
200 / 2 = 100

Evaluate the expression for s = -1.

Answers

Answer:

the expression for s = -1.

is s+1=0

I need help I don’t understand this thank you so much

Answers

Answer:

The answer is 3,200 oz.

Step-by-step explanation:

Because since 16 oz. is equal to 1 pound, you can multiply 16 and 200 and get a result of 3,200

The bus left Little Rock at 3:10pm and arrived at Dallas at 7:40pm. How long did it take to get from one town to the other?

Answers

Answer:

4 hrs 30 mins

Step-by-step explanation:

NEED HELP ASAP TAKING TEST-On average, a person’s body temperature should be approximately 98.6°F. A doctor would like to test the hypotheses H Subscript 0 Baseline: mu = 98.6 versus H Subscript alpha Baseline: mu not-equals98.6 where μ = the true mean body temperature of all adults. Before conducting the test, the doctor determines that the power of the test to reject the null hypothesis when μ = 98 using α = 0.01 and n = 10 is 0.2474. What combination of sample size and significance level would increase the power of this test the most?

use n = 5, alpha = 0.05
use n = 5, alpha = 0.10
use n = 20, alpha = 0.05
use n = 20, alpha = 0.10

Answers

Answer:

D I think,

Step-by-step explanation:

In a blind taste test, 25 people chose brand A, 15 people chose brand B, and 10 people chose

brand C. There are 200 more people to be surveyed. Based on the data, which is most likely.

to happen?

About 10 more people will choose brand B than brand C.

About 30 more people will choose brand C.

About 30 more people will choose brand A than brand B.

About 100 more people will choose brand A.

Answers

Answer: About 100 more people will choose brand A.

Step-by-step explanation:

Number of people who chose brand A = 25

Number of people who chose brand B = 15

Number of people who chose brand C = 10

Total number of people = 25+10+15 = 50

Since there are 200 people left, we'll equate them based on the data given and this will be:

For A = 25/50 × 200 = 100

For B = 15/50 × 200 = 60

For C = 10/50 × 200 = 40

Therefore, about 100 more people will choose brand A.

Answer:

About 100 more people will choose brand A

Step-by-step explanation:

i ready:)

This is a Single Choice Question; skip ahead to question content
A
B
C
D
E
Confirm
A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?

81%
90.09%
90.9%
99%
180%

Answers

99% hope it helps!!
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