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
Anna35 [415]
3 years ago
15

Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away

from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .

Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

The height of the tree=8.42 m

Step-by-step explanation:

We are given that

Height of Joshua, h=1.45 m

Length of tree's shadow, L=31.65 m

Distance between tree and Joshua=26.2 m

We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

CD=31.65-26.2=5.45 m

EC=1.45 m

All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.

\triangle ABD\sim \triangle ECD

\frac{AB}{EC}=\frac{BD}{CD}

Substitute the values

\frac{AB}{1.45}=\frac{31.65}{5.45}

AB=\frac{31.65\times 1.45}{5.45}

AB=8.42m

Hence, the height of the tree=8.42 m

You might be interested in
Whats v = r + at solve for a
Alecsey [184]

Answer:

v - r

------ = a

  t

Step-by-step explanation:

Starting with v = r + at, subtract r from both sides, so as to isolate the 'at' term:

v - r = r - r + at, or

v - r = at

Next, divide both sides by t, to isolate a:

v - r

------ = a

  t

6 0
3 years ago
What is the reciprocal of 9/14
KATRIN_1 [288]
14/9 because u just flip it to cancel it out
7 0
3 years ago
Read 2 more answers
Plz help gotta finish before 11:59:((((
olasank [31]

Answer:

19/42

Step-by-step explanation:

multiply each fraction by the opposite denominator to get the same denominator for both 12+7=19 &6×7=42

8 0
3 years ago
Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the
Archy [21]
You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.

This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.
7 0
3 years ago
Read 2 more answers
Lucy rented a movie. She started the movie at 9:48 a.m. and it was 3 hours 39 minutes long. When did the movie end
iren2701 [21]

Think through this one...

9:48 + 9 minutes = 9:57

9:57 + 30 minutes = 10:27

10:27 + 3 hours = 1:27 p.m.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Please help algebra question
    15·1 answer
  • Eleanor and Max used two Rectangular wooden boards to make a set for the school play one board was 6 feet long,And other was 5 1
    14·1 answer
  • Help this homework is due by tomorrow
    9·2 answers
  • How many times can 24 go into 189?
    9·1 answer
  • Help someone I need help?
    12·2 answers
  • Catherine's mother is
    13·1 answer
  • Write an expression that represents the product q and 5 divided by 2
    5·2 answers
  • A cashier at the local bank expected to serve 12 customers every hour. In the past 15 minutes he served 4 customers. Assuming th
    6·1 answer
  • andrew rides his bike at a speed of 28 km per hour. he rides for one amd one quarter hours at this speed without stopping. How f
    10·2 answers
  • The propellers on the Titanic have a radius of 23.5 ft and weigh 38 tons each. If the propellers turn at 180 rpm, what would be
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!