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
Helga [31]
2 years ago
14

John is standing in his backyard and decides to estimate the height of a tree. He stands so that the tip of his shadow coincides

with the tip of the tree's shadow, as shown below. John is 70 inches tall. The distance from the tree to John is 75 feet and the distance between the tip of the shadows and John is 7
feet. About how tall is the tree, to the nearest foot? Be careful with your units!!!

Mathematics
1 answer:
Andrew [12]2 years ago
8 0

The tree is 820 inches tall using the similarity of triangles.

To get the height of the tree, we will use the properties of similar triangles expressed as:

\frac{70in}{7ft} = \frac{h}{75ft+7ft}\\\frac{70in}{7ft} = \frac{h}{82ft}\\

  • Note that 1 foot = 12inches
  • 7ft = 84in and 82ft = 984in

  • h is the required height of the tree. Simplify the equation above to get the height "h" and replace feet with inches;

\frac{70}{84} = \frac{h}{984}\\84h =70 \times 984\\84h = 68,880\\h=\frac{68,880}{84}\\h= 820in

Hence the tree is 820 inches tall using the similarity of triangles.

Learn more on similarities of triangles here: brainly.com/question/24295402

You might be interested in
What is the percentage of $1.35 of $5
AnnyKZ [126]
I believe that the answer would be 27%


6 0
3 years ago
Read 2 more answers
Find the ratio if it is given that ...
igomit [66]
Here is the answer to your question as This is the way I think it is solved

4 0
2 years ago
Read 2 more answers
Find the value of z in the isosceles triangle shown below.<br> V20<br> V20<br> 8
Andrews [41]

Answer:

<h3>x = 2</h3>

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = x

           b = 8/2 = 4  

           c = √20

plugin values into the formula:

x² + 4² = (√20)²

x² + 16 = 20

x² = 20 - 16

x = √4

x = 2

5 0
2 years ago
Graph f(x) = 22 +1 and g(x) = -x +4 on the same graph
Virty [35]

Answer:

-19 = x

Step-by-step explanation:

22 + 1 = -x + 4

23 = -x + 4

- 4 - 4

________

19 = −x

-19 = x

I am joyous to assist you anytime.

7 0
3 years ago
A safety regulation states that the height hh of a guardrail should be 106 centimeters with an absolute deviation of no more tha
iren [92.7K]

Let us say that h is the height of the guardrail. Therefore the inequality equation that we can generate from this scenario is:

| h – 106 | = ± 7

 

There are two ways to solve this, either the equation is positive or negative.

When the equation is positive, therefore:

| h – 106 | = 7

h = 7 + 106 = 113 cm

 

When the equation is negative, therefore:

| h – 106 | = - 7

h = -7 + 106 = 99 cm

 

So the height must be 99 cm to 113 cm

6 0
3 years ago
Other questions:
  • A city fundraiser raffle is raffling off 15 cash prizes. First prize is $10,000. Each successive prize is $500 less than the pre
    12·1 answer
  • Suppose you buy a CD for $300 that earns 3% APR and is compounded quarterly. The CD matures in 3 years. How much will this CD be
    14·2 answers
  • What is the domain of the function below? (0,2 (3,1) (5,2) (8,4)
    8·2 answers
  • Helppppppp!!!!! me plz i need help
    12·2 answers
  • Solve the equation to find the value of x. 8.35x-1.5=71.98
    15·2 answers
  • 3 1/6 divided by 2 1/9
    11·2 answers
  • 1.3 to the second power
    12·2 answers
  • In an opinion poll, 29% of 100 people sampled said they were strongly opposed to the state lottery. What is the approximate stan
    10·1 answer
  • Use the bar graph to find the experimental probability of the event. Write your answer as a fraction or percent rounded to the n
    9·1 answer
  • What is the probability of picking a blue marble from a bag of 3 blue marbles, 4 orange marbles, 2 yellow marbles and 1 red marb
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!