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
Dovator [93]
3 years ago
7

A photographer is 6 feet tall and cast a shadow that is 2 feet long. He is photographing a palm tree with a shadow that is 7 fee

t long. What is the height of the tree
Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0

Answer: The height of the tree is 21 feet.

Step-by-step explanation:

Here we can assume that the angle at which the sun impacts the photographer and the tree to be the same angle.

Then we can think in both cases as triangles rectangles, where the height is a cathetus, and the shadow is the other cathetus.

Then we will have a relationship like:

Tg(angle) = shadow/height

height = shadow/Tg(angle)

Now, because for both triangles we have the same angle, then Tg(angle) will be the same number for both cases, and we can just think of it as constant K

Tg(angle) = K

Then we have the equation:

Height = Shadow/K

We know that the photographer is 6ft tall, and his shadow is 2 ft long, we can replace those two things in the above equation and find the value of k:

6ft = 2ft/K

K = 2ft/6ft = (1/3)

Now we know that the shadow of the tree is 7ft long, then the height will be:

height = 7ft/(1/3) = 7ft*3 = 21ft

The tree is 21 ft tall.

You might be interested in
WILL GIVE BRAINLIEST! PLEASE HELP ASAP!
sergejj [24]

Answer:

D

Step-by-step explanation:

I'll it explain it as soon as it sends

20 x 4 - 100 ÷ 5

Pemdas First parenthesis then multiplica or division and the addition or subtraction. Everything from left to right

first multiplication

80 - 100 ÷ 5

Then division

80-5

then subtraction

75

7 0
2 years ago
Read 2 more answers
HURRY, THIS IS TIMED!!!
otez555 [7]

Answer:

Step-by-step explanation:

1. not equivalent

2. not equivalent

3. fully simplified

4.not fully simplified

5. not fully simplified

6. not fully simplified

3 0
3 years ago
Y
Art [367]

Answer:

60 square units

Step-by-step explanation:

3 0
2 years ago
A fair spinner has 10 equal sections: 3 red, 3 blue and 4 green. It is spun twice. What is the probability of getting not green
Nonamiya [84]

Answer:

0.24

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome. The probability that an even will happen or not happen is 1.

Given that the spun has 10 sections 3 red, 3 blue and 4 green, the probability of not getting green

= (3 + 3)/(3 + 3 + 4)

= 6/10

The probability of getting green

= 4/10

Hence the probability of getting not green then green

= 6/10 * 4/10

= 24/100

= 0.24

4 0
2 years ago
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.
Angelina_Jolie [31]

Answer:

c = 21

Step-by-step explanation:

<u>**I assume that side WX in my diagram (attached as an image below) is the value of C that we're looking for. ALSO, the sizes and lengths of the parallelograms are NOT to scale.**</u>

If two parallelograms are similar, that means the lengths of the corresponding sides have EQUAL ratios.

PL corresponds with WZ. To get from 15 to 45, you would multiply 15 by 3, so the ratio of the legnths of the corresponding sides between these two parallelograms is 1:3.

With that in mind, we can apply this ratio to find WX.

We know that AP has a length of 7, so we will multiply that by 3, getting a value of 21, and 7:21 ratio is the same as 1:3.

c = 21

Hope this helps (●'◡'●)

7 0
2 years ago
Other questions:
  • What value for n makes the equation true? 8n - 2 = 2
    13·2 answers
  • On spring break Mirna went to Florida. she collected 60 shells. The following set of data shows the weight of each seashell in o
    8·1 answer
  • 6 times the difference of a number x and 5 is 42. Write an equation that describes this situation. A) 6x + 5 = 42 B) 6x - 5 = 42
    12·1 answer
  • Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric v
    11·1 answer
  • Need help with problem 26.
    5·1 answer
  • The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?
    9·1 answer
  • Can they be written as a fraction and if so why
    14·2 answers
  • Force of 100N Work of 1000J what was the distance
    8·2 answers
  • You are going to the mall with your
    5·1 answer
  • The rule in this pattern is add 3. Write the next 4 terms of the pattern. What do you observe about the terms in the pattern? Ex
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!