Mathematics High School

John wants to measure the height of a tree. His eye level is 6 feet from the ground. He walks exactly 100 ft from the base of
the tree and looks up. The angle from the Johns eye level to the top of the tree is 33º. How tall is the tree?

Answers

Answer 1

Answer:

70.9 feets

Step-by-step explanation:

From trigonometry:

tan θ = opposite /Adjacent

Opposite = tree height, y

Adjacent = vertical distance between eyelevel and tree

tan 33º = y/100

y = 100 * tan 33º

y = 100 * 0.6494075

y = 64.9 feets

Distance between John's eye level and the ground = 6 feets

Total tree height = 6 + 64.9 = 70.9 feets

Related Questions

For what value of k does the equation 6(x + 1) + 2 = 3(k5x + 1) + 3 have no solution?

Answers

Answer:

k = (6/15)

Step-by-step explanation:

The equation is:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

To have no solutions, we need to have something like:

x + 7 = x + 4

where we can remove x in both sides and end with

7 = 4

So this equation is false, meaning that there is no value of x such that this equation is true, then the equation has no solutions.

First, let's try to simplify our equation:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

6*x + 6 + 2 = 3*k*5*x + 3*1 + 3

6*x + 8 = 15*k*x + 6

if 15*k = 6, then the system clerly has no solution.

then:

k = 6/15

then we get:

6*x + 8 = (6/15)*15*x + 6

6*x + 8 = 6*x + 6

8 = 6

The system has no solutions.

Please help me, its due in a few minutes. There are multiple slides!
Not trying to be picky but please answer all if able to!

Answers

Answer:b

Step-by-step explanation:

Answer:

1- B

2- D

3- ?

4- B

5- ?

6y+12=24 turn this equation into standard form “y=Mx+b” I WILL MAKR BRAINLIEST!! 17 POINTS!!!!

Answers

Answer:

[tex]y=2[/tex]

Step-by-step explanation:

Standard form is y=mx+b, where m=slope and b=y-intercept

I really hope this helps :-)

[tex]-noorati[/tex]

answer asap! will give brainliest, question in pic!

Answers

Answer:

Im 95% sure that it is most likely the first one.

Step-by-step explanation:

Question 23 of 25
What is the value of x in the diagram below?
49
IN
14
2
A. 6
B. 9
C. 8
D. 7
HELP ASAPPPPPP

Answers

Answer: D

Step-by-step explanation:

because 7x7= 49

1. The change in the population of fruit flies can be modeled by the equation f(t) = 3(1.50), where
t is time in days. Which statement describes the change in population of fruit flies?
a. 1.50% decrease daily
c. 50% increase daily
b. 1.50% increase daily
d. 50% decrease daily

Answers

The answer is c they increase daily

please answer dis question

Answers

Answer:

1

Step-by-step explanation:

A = 4

B = 5

Theres a 1 number diffrence.

(sorry if its wring its 12am im tired-

Please answer AND Explain ASAP. Whoever has the best explanation will get brainiest

I'm trying to understand this!!

Answers

Answer:

eric=12

bill=16

Step-by-step explanation:

you can solve this using two simple algebraic equations. this is the key I will be using:

x=bill

y=Eric

x+y=28

x=y+4

since x is by itself in the second equation, I can replace the x in the first equation with y+4

(y+4)+y=28

subtract 4 from both sides

y+y=24

which is also 2y=24

divide both sides by two.

y=12

so now we know Eric is 12 years old.

using this, we can replace the "y" in the second original equation (x=y+4)

x=12+4

x=16

Bill is 16 years old.

Mark opens a bank account with $20. He plans to put in $5 each week.

Complete the table below to show the total amount of money Mark has in his bank account from 0 to 10 weeks.

Time
(weeks)
0
1
2
3
4
5
6
7
8
9
10
Money ($)
$20

Answers

Answer:$60 per week

Step-by-step explanation:

120+90+0+30+0+150+30=420

420/7= 60

pls help i will give brainliest

Answers

The answer is c. 28.26 cm^2

Answer:

28.26

Step-by-step explanation:

A

=

π

r

2

=

π

·

3

2

≈

28.27433

Write an equation of the line with a slope of -2/7 and a y-intercept of 5.

Answers

the formula is y=mx+b

mx is the slope and b is the y-intercept

y=-2/7+5

---

hope it helps

Hello, what do I write on my number line?

Answers

Answer:

1/2,1/2,1/2,1/4,1/4,1/4,3/4,3/4

Step-by-step explanation:

I hope it helped!

1/2 1/2 1/2 1/4 1/4 1/4 3/4 3/4

On a coordinate plane, a line with a 90-degree angle crosses the y-axis at (0, 1), the x-axis at (1, 0), turns at (3, negative 2), and crosses the x-axis at (5, 0). What is the lowest value of the range of the function shown on the graph?

Answers

Answer:

-2

Step-by-step explanation:

Answer:

THE ANSWER IS B) -2

Step-by-step explanation:

ON EDGE 2021

Alright have posted the next question!

Answers

the answer to this is 4

Answer:

Angle 4 is the answer

Step-by-step explanation:

Vertical angles are angles opposite each other.

Therefore, angle 2 is vertical to angle 4.

hope this helps and is right :)

p.s. i really need brainliest

what is the solution
y=-4x+20 y=2x-22

Answers

Answer: x=7 y=-8

Step-by-step explanation:

someone please solve

Answers

Answer:

B

Step-by-step explanation:

Radius is half of diameter so r is 36

[tex]4/3\pi r^3[/tex] is volume of sphere

using 3.14 as pi you get 195,333.12 cubic cm

The box shown has a volume of 8 cubic inches.
image
If it is a cube, how long does each side measure?

Answers

Answer:

The answer is 2

Step-by-step explanation:

If we use the formula for volume LWH=V. We also take in the fact that a cube has the same measure on every side. and we input 2 for L , W , and H

Which is 2*2*2=8

5x^2-44x+130=-30+16x

Answers

Answer:

if its answer for x its

Step-by-step explanation:

=4

=8

5x²-44x + 130 = -30 + 16x

5x²-44x + 130 + 30 - 16x = 0

5x² -60x + 160 = 0

devide by 5

x² - 12x + 32 = 0

(x-4) (x-8) = 0

x-4 = 0 then x = 4

x-8 = 0 then x = 8


so x=4 and x=8

Mike went on a vacation to ohio.When he went home the odemeter read 7,219.4 miles.When he returned home the odemeter read 8,192.6 miles.How many miles did mike travel?

Answers

Answer:

973.2 miles

Step-by-step explanation:

miles travelled = miles on the odemeter after the trip - miles on the odemeter before the trip

8192.6 - 7219.4 = 973.2

Find the inverse of the function
g(x)=2x+5
algebraically.

Answers

*g(x) = y*
2x + 5 = y
2x = y - 5
x = (y - 5)/2

*Inverse*
g^-1(x) = (x-5)/2

Solve (3x-4)-(5x-3) and simplify the answer!

Answers

Answer:

-2x-1

Step-by-step explanation:

(3x-4)-(5x-3)

Distribute the minus sign

3x-4-5x+3

Combine like terms

3x-5x  -4+3

-2x-1

(07.01)What is the value of x in the equation 8 + x = 3?
-5
5
11
24

Answers

Answer:

-5

Step-by-step explanation:

11 because you add 8 and 3 do eleven and x

can someone please help me​

Answers

Answer:

i think just 2

Step-by-step explanation:

Answer:

-x²-12x+6 is your answer

Kip took out a loan for $750. He earned $60 in interest and his interest
rate was 4%. How long did he take to repay the loan?
1 year
2 years
2.5 years
3 years

Answers

9514 1404 393

Answer:

  (b)  2 years

Step-by-step explanation:

The interest formula is ...

  I = Prt . . . . interest rate r on principal P for t years

We can fill in the known values and solve for t.

  60 = 750·0.04·t

  60/30 = t = 2

The loan was repaid in 2 years.

what is the disadvantage and advantage​

Answers

Answer:

An advatage is that he has a scholorship to pay most of his college or school, but a disadvantage is that he will need to pay back his student loan.

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

One advantage would be with a student loan he could probably get more money than a scholarship however the disadvantage is he would eventually have to pay that money back in the future. A scholarship would be free money given by a college but he would receive it in small amounts.

Multiply each equation by a number that produces opposite coefficients for x or y 1/3x -2/3 y=7

Answers

Answer:

Attached

Step-by-step explanation:

Which of the following is NOT a solution for the inequality below? Please look at the picture

Answers

Hello Vanessa. I will be contacting your school for cheating.

Plz help
What decimal is equivalent to 21/25

Answers

It’s not step by step on how to figure it out but 0.84 is equivalent to 21/25

Complete the equation of the line whose slope is -5/3
and y-intercept is (0, -2).

Answers

Answer:

these are tough,   it takes a lot of practice to get used to these, sooo

Step-by-step explanation:

we know the slope, m= -5/3,   and we're given a point so use the point slope formula

y= mx + b

the point we are given is in this form  (x,y)

then plug the information into our point slope formula

y = (-5/3) x  + (-2)

y = -5x/3 -2

should i add, multiply, subtract, or divide n+16=9

Answers

Answer:

subtract

Step-by-step explanation:

16 from 9

n = 9 - 16

n = -7

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