john wants to measure the hieght of a tree. he walks exactly 100 ft from the base of the tree and looks up. the angle from the ground to the top of the tree is 33. how tall is the tree​

Answers

Answer 1

Answer:

The tree is 64.9 ft tall.

Step-by-step explanation:

Think of a right triangle. Draw the right triangle. The tree is a vertical side of the triangle, so it is a leg with unknown length, so call its length y. The ground, is a horizontal leg with length 100 ft. The angle from endpoint of the horizontal leg on the ground away from the tree to the top of the tree is 33º.

For the 33º angle, y is the opposite leg, and 100 ft is the adjacent leg.

The trig ratio that relates the lengths of the opposite leg to the adjacent leg is the tangent.

tan A = opp/adj

tan 33º = y/100

y = 100 * tan 33º

y = 64.9

Answer: The tree is 64.9 ft tall.


Related Questions

At Star Market, you can buy 3 pints of raspberries for $12.00. What is the cost per pint?

Answers

Answer:

$4 per pint

Step-by-step explanation:

Take $12 and divide by 3 pints.

:)

Answer: x= 12/3

Step-by-step explanation:

The answer to your problem is $4.00 per pint

A biker can travel 8 miles in one hour. How long will it take him to travel 32 miles?
Create a table. Highlight the unit rate. State your answer clearly with a label.

Answers

Answer:

4hrs

Step-by-step explanation:

Given parameters:

Rate of the biker = 8mph

Unknown:

Time taken to travel 32miles  = ?

Solution:

We have been given the speed of the bike which is 8mp.

 Speed is the distance covered per unit of time. It is mathematically expressed as;

      Speed  = [tex]\frac{distance}{time}[/tex]

So,

  Time  = [tex]\frac{distance }{speed }[/tex]  

Now, insert the parameters and solve;

   time  = [tex]\frac{32}{8}[/tex]   = 4hrs

Find the next two numbers in the pattern

Answers

Answer:

They are -6 and positive 3

the first one is -6 second is 3

PLZ HELP ASAP
What is the value of the 11th term in the following geometric sequence?
-5, -10, -20, -40
-100
-19,531,250
-180
-5,120

Answers

Answer:

No thanks give me my points back ;)

Step-by-step explanation:

If trianglePTS ~ trianglePQR, find the value of x.

Answers

Answer:

bei2uer22vv

Step-by-step explanation:

Identify the independent and dependent variable for the given situation. The amount of
distance covered by a car in a certain amount of time.

Answers

Answer:

distance = independant; time = dependant

Step-by-step explanation:

You are able to change the distance you travel, making it the independant. As you go farther, the time increases, so it is dependant on the distance traveled, therefore it is the dependant.

The total distance traveled by a car depends on the amount of time. For instance, a car has been driving 50 miles per hour. Therefore, the distance covered is the dependent variable and time is the independent variable.

PLEASE HELP ME IF YOU HAVE THE RIGHT ANSWER ILL GIVE BRAINLIEST AND ILL GIVE %) POINTS TOTAL I PROMISE JUST PLEASE HELPPP!!!
Simplify 5j + 3 + 8m – 2j + 6m - 1

Answers

3j + 14m + 2
combine like terms

Answer:

3j + 14m + 2

Step-by-step explanation:

:)))))))))))))))

solve for the given variable

Answers

Answer:

30

Step-by-step explanation:

Well we know the first angle is 90 degrees, which means we have 90 degrees left to work with. Then, the top angle would be 60 degrees, because there is a straight line (which of course has to equal 180), so 180-120 = 60. Now, 90-60=30!

Answer:

k = 30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an exterior angle of the triangle, thus

k + 90 = 120 ( subtract 90 from both sides )

k = 30

Multiple Choice 1. Which type of correlation is suggested by the scatter plot? Positive correlation negative correlation Equal correlation no correlation

Answers

Answer:

negativo correlation

Step-by-step explanation:

because is parrallel

Harry took a loan from the bank.
D represents Harry's remaining debt (in dollars) after t months.
D=200t + 9000
What was the size of Harry's loan?

Answers

The answer would be 45

Which is a zero of the function f(x)=2x−6?

-6
-3
2
3

Answers

Answer:

-3

Step-by-step explanation:

2(-3)-6

6-6

0

Answer:

3

Step-by-step explanation:

f(3) = 2(3)-6

f(3) = 6-6

f(3) = 0

the three angles shown form a right angle. what is the value of the third angle

Answers

Answer:

wheres it shown ?

Step-by-step explanation:

Bro where is the pic

What is the area of the figure?

Answers

Answer:

252 in 2

Step-by-step explanation:

break the big figure up and get 108, 90, and 54 add them all togther and get 252

6. Using the information from question 5, What would the be the total amount you spend on the
$39.00 pair of shoes including the sales tax.
Will give brainlest also don’t waste my points .

Answers

Answer:

$42

Step-by-step explanation:

if the total without tax is $39.00, add the sales tax.

39.00 + 2.83 = 41.83

rounded would be $42.00

Express this amount in dozens. (Use decimal form.) 75 cupcakes

Answers

Answer:

6.25 dozens for 75 cupcakes

Step-by-step explanation:

(used a calculator... if I'm wrong, I'm sorry TmT

Answer:

6.25 dozens

Step-by-step explanation:

1 dozen = 12

75 / 12 = 25 / 4

25 / 4 = 6 1 /4 = 6.25

Jack left a tip of $5.75 for his waiter. If this represents 20% of his meal, what was the cost, in dollars, of Jack’s meal without the tip?

Answers

Answer:

Step-by-step explanation:

This is a commission problem. Here is the formula:

P x R

= 5.75 x 0.20

= $1.15

Jack's tip was $1.15. :D

Key: P = Original Price R = Commission Rate

What is the measure of angle five and what vocabulary word is it?

Answers

Answer: The measure of 5 is 90 degrees and it is a right angle

Step-by-step explanation:

Explanation above

plz solve marked brainlist

Answers

Answer:

No solution

Step-by-step explanation:

There is one variable. so it can't be two solutions. To the rest, we need to solve the equation.

5-2x=3+x-4-3x

5=3-4

5=-1

Impossible!!!

so no solution.

Hope this helps plz mark brainliest :D

An arrow is shot vertically upward from a platform 35 ft high at a rate of 166 ft/sec. When will the arrow hit the ground? Ignore the air resistance. Use the formula ℎ = −16 2 + 0 + ℎ0. Round your answer to the nearest tenth.

Answers

Answer:

The arrow will hit the ground approximately 10.5 seconds after launch.

Step-by-step explanation:

The arrow experiments a free fall motion, which is a particular form of uniform accelerated motion due to gravity and in which air friction and effects from Earth's rotation can be neglected. Then, the height as a function of time ([tex]h(t)[/tex]), measured in feet, is obtained by the following kinematic formula:

[tex]h(t) = h_{o}+v_{o}\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)

Where:

[tex]h_{o}[/tex] - Initial height of the arrow, measured in feet.

[tex]v_{o}[/tex] - Initial velocity of the arrow, measured in feet per second.

[tex]t[/tex] - Time, measured in seconds.

[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.

If we know that [tex]h(t) = 0\,ft[/tex], [tex]h_{o} = 35\,ft[/tex], [tex]v_{o} = 166\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{m}{s^{2}}[/tex], then the following polynomial is obtained:

[tex]35+166\cdot t -16.087\cdot t^{2}=0[/tex] (2)

Lastly, we find the roots of the given expression by the Quadratic Formula:

[tex]t_{1}\approx 10.526\,s[/tex] and [tex]t_{2} \approx -0.207\,s[/tex]

Time is a positive variable and then we conclude that the only solution that is physically reasonable is approximately 10.526 seconds.

The arrow will hit the ground approximately 10.5 seconds after launch.

Reed has made 78 of 90 attempted free
throws last season. How many
consecutive free throws must he make to
bring his free throw percentage to 90%?

Answers

Answer: 81 consecutive free throws

Step-by-step explanation: Since 78 of 90 attempted free throws equals to 88.89%, then try adding 3 to 78, (78 + 3) which equals to 81. If you convert 81/90 to a percentage, you get 90%. So your final result or answer is 81 consecutive free throws.

Tip: To convert a fraction to a percentage, divide the denominator by the numerator and you should get a decimal quotient. Lastly, just add a percentage sign.

Select ALL of the answers that are true about the equation: y= 6x-2
A)The slope is negative.
B)The Y-Intercept is negative.
C)The slope is 6.
D)The Y-Intercept is +2.

Answers

Answer:

B and C

:)))))

a bc -2 is the slope

Problem #18
I have a box that is 5 inches wide, 2 inches deep, and 4 inches tall that I want
to fill with sand. How much sand can I fit inside my box?

Answers

Answer:

40in^3

Step-by-step explanation:

Step one:

given data

dimension of the box

lengh= 5 in

width= 2 in

height =4 in

Required

the volume of the box

the expression for the volume is

V=L*W*H

V=5*2*4

V=40 in^3

Hence the volume of sand the box can take is 40in^3

PLEASE HELP DUE MIDNIGHT

Answers

Answer: 26

Step-by-step explanation: Since you are given the measures of two legs which are 24 (XY) and 10 (XS), you just need to use the formula a^2+b^2=c^2 to find the hypotenuse which is RY.

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

26 = c

RY = 26

What is the slope-intercept equation for the line below? (5, 4) (0, 2) 6 +
O A. y=x+2
O B. y=-x+2
O C. y=-x+2 O 2/
D. y=x+2​

Answers

Answer:

The answer is D y=2/5x + 2

Step-by-step explanation:

I find the the slope first by using the slope formula y2 - y1/x2 - x1

Then, I use the slope-intercept formula to find the y-intercept

4 = 2/5(5) + b

4 = 10/5 + b

4 = 2 + b

4 - 2 = 2 - 2 + b

2 = b

So u get:

y=2/5x + 2

Tell whether the relationship shown in the mapping diagram is a function or not.

Answers

Answer:

It is a function

Step-by-step explanation:

The x-values do not repeat so it is a function.

What is the expanded form of 5(3m + 7)?

Answers

Answer:  the  answer  is  15m  +  35

Step-by-step explanation:

Answer:

y= 5(3m+7)

Step-by-step explanation:

A coffee table is on sale for 20% off the original price of $115.
If there is 7.5% sales tax, what is the final price of the coffee table?
Enter your answer in the box.

Answers

Answer:

$98.90

Step-by-step explanation:

20% off of 115 is 92 then when you add the sales tax of 7.5% you get $98.90.

You are going to pay $6.90 in sales tax.

PLEASE MARK BRAINLIEST

Answer:

$98.90

Step-by-step explanation:

20% off of 115 is 92 then when you add the sales tax of 7.5% you get $98.90.

You are going to pay $6.90 in sales tax.

What is the rate of change of the following equation?
y=x-5

Answers

Step-by-step explanation:

rate of change =y/x

= _5

rate of change = 1

What is rate of change?

Rate of Change: The speed at which a variable changes over a specific period of time. It is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another. Graphically, this ratio is represented by the slope of a line.

Given equation:

y = x - 5

rate of change = m = ?

Comparing the equation with slope intercept form of line

y = mx + c

slope m = 1

c = -5

Hence the rate of change (slope m)  = 1

Learn more about rate of change here:

https://brainly.com/question/29518179

#SPJ2

Solve for x.



5x - 6 = 4x + 8

Answers

Answer:

x = 14

Step-by-step explanation:

5x - 6 = 4x + 8

    +6         +6

5x = 4x + 14

-4x    -4x

x = 14

Answer:

5x-6=4x+8

5x=4x+8+6

5x=4x+14

x=14

I hope this is good enough:

If y varies directly with x and y=8 when x=12, what will be the value of y when x=18

Answers

Answer:

y will equal 12 as 18 is 1.5x 12, 12 is 1.5x 8

Step-by-step explanation:

The one above me is correct
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