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
Ann [662]
3 years ago
12

A person that is 5 feet tall casts a shadow 25 feet long. How long is the shadow of a tree that is 15 feet tall?

Mathematics
1 answer:
fiasKO [112]3 years ago
4 0
The person and his shadow make a right triangle as well as the tree and it's shadow. they will be similar right triangles containing angles that are equal. I'm in similar triangles the angles are proportional so a ratio could be used to determine the shadow length. this ratio is:
25/5 = x/15
(Notice that both the height of the person and
the height of the tree height of the tree are on
the bottom because these would be similar
sides and the same for the shadows with both
on top. this could easily have been switched
with the shadows on bottom and heights on
top like:
5/25 = 15/x
however I noticed the 25/5 could easily be
reduced. this eliminated the need for cross
multiplication.)

The 25/5 can be reduced to 5:
5 = x/15
and then multiply both sides by 15 and you get:
x = 75
so the answer is 75 feet long.

this can be checked various ways. using trigonometry we have the opposite and adjacent sides so tangent could be used to find the angle between the shadow and the hypotenuse. this is:
tan (x) = opposite/adjacent
opposite = height
adjacent = shadow
so:
tan (x) = 5/25 for person
tan (x) = 15/75 for tree
these equations both reduce to:
tan (x) = 1/5
And of both equations are the same then the angLee are equal creating similar triangles and a correct answer
You might be interested in
Qasim and Alejandra both earn $15 an hour at their job. This week Alejandra worked three hours more than Qasim. If h represents
joja [24]

Answer:

Alejandra worked 8 hours and Qasim worked 5

Step-by-step explanation:

195/15 is 13. They worked 13 hours in total. 8 is 3 more than 5 and together they equal 13.

8 0
3 years ago
The sum of 4 numbers is 1230. The average of 3 of them is 293. What is the fourth number?
OverLord2011 [107]
351 because 293 multiplied by 3 = 879, and 1230 - 879 = 351
8 0
3 years ago
Read 2 more answers
What is the answer to 3x + 2 = -19?
Marrrta [24]

Answer:

X = -7

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Estimate the range of the product 43 x 77. Enter a hyphen (-) between the two numbers. (I will give brainliest if correct!!)
nignag [31]

Answer:

2800 - 4000

Step-by-step explanation:

40 × 70 = 2800

50 × 80 = 4000

7 0
3 years ago
What is the slope of the line <br><br>​
prisoha [69]
Answer :

The slope of the line is 0


3 0
3 years ago
Other questions:
  • I need the help!!! I don't rember how to do this. Explain if u can.
    8·1 answer
  • Find the radius of a circle that has an area of 6.76 cm². Use it for pi.
    9·1 answer
  • Y * 3 = 81 please i need it for today
    12·1 answer
  • Solve for a.<br><br> 6(a+3)=18+6a
    9·2 answers
  • A ball is projected with velocity 10m/s at an angle of 30 degrees with the horizontal surface . The time taken by the ball to re
    6·1 answer
  • Consider this expression: 7(10a+3b)
    5·2 answers
  • Justin wants to rent a boat and spend at most 36. The boat costs 6 per hour, and Justin has a discount coupon for 4 off. What ar
    11·1 answer
  • 2-3x=-6 solve the ecuation<br> <img src="https://tex.z-dn.net/?f=2%2F-3x%3D-6" id="TexFormula1" title="2/-3x=-6" alt="2/-3x=-6"
    9·2 answers
  • Help please will mark brainliest
    7·2 answers
  • Rewrite the equation below so that it does not have fractions.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!