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
Otrada [13]
3 years ago
10

In sunlight, a vertical stick has a height of 5 ft and casts a shadow 3 ft long at the same time that a nearby tree casts a shad

ow 15 ft long. How tall is the tree?
Mathematics
2 answers:
leva [86]3 years ago
7 0
The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
Black_prince [1.1K]3 years ago
6 0

Answer:

The tree is 25 ft tall.

Step-by-step explanation:

Since, at the same time the ratio of actual height and shadow is constant for every object.

Thus, we can write,

At the same time,

\frac{\text{Height of tree}}{\text{Length of its shadow}}=\frac{\text{Height of vertical stick}}{\text{length of its shadow}}

Given,

The vertical stick has a height of 5 ft and casts a shadow 3 ft long at the same time that a nearby tree casts a shadow 15 ft long,

Let h be the height of the tree,

\implies \frac{h}{15}=\frac{5}{3}

By cross multiplication,

3h=75

Dividing both sides by 3,

h=25

Hence, the tree is 25 ft tall.

You might be interested in
The largest place value that 8.21 and 19.5 have in common is the tens place.<br> true or false
uysha [10]
<span>it false ......................</span>
4 0
3 years ago
a random sample size of 175 is drawn from a large population. The population standard deviation is 13.6. The sample mean is 87.3
navik [9.2K]

Answer:

The size of the population mean would be provided as:

mean +/- std/sqrt(sample size)

<=>

87.3 +/- 13.6/sqrt(175)

<=>

87.3 +/- 1.03

=> Option B is correct.

Hope this helps!

:)

6 0
3 years ago
A skydiver is falling at about 176 feet per second. How many feet per minute?
bixtya [17]

176 feet per sec × 6o secs in a minute = 10560

3 0
3 years ago
Can some one plz Solve this. 5 - 2x &lt; 7.
kow [346]

Answer:

x > 1

Step-by-step explanation:

5 - 2x < 7

-5          - 5

-2x < 2

/-2     /-2

(dividing by negative switches the sign)

x >- 1

5 0
3 years ago
Read 2 more answers
Kipton puts one marshmallow on the scale and it weighs 7.2 grams. How much would 10 marshmallows weigh?
Maksim231197 [3]

Answer:

72 grams

Step-by-step explanation:

7.2 x 10 = 72

7 0
2 years ago
Other questions:
  • A pipe is leaking at 1.5 cups per day about how many gallons per week is the pipe leaking
    7·1 answer
  • Kylee's car was broken into, and her stereo and GPS system worth $425 total
    5·2 answers
  • Š Recommendations
    15·1 answer
  • Kayla is 13 years old or Uncle says that his h - 22 is equal to Kayla's age how old is Kayla's uncle
    15·1 answer
  • A cheetah ran 300 ft. in 2.92 seconds. What was the cheetah's average speed in miles per hour? Show your work
    15·1 answer
  • A line passes through the points (0, –3) and (2, –4)<br> Enter the slope of the line in the box.
    11·2 answers
  • The price of a coat is reduced by 15% in a sale.
    13·1 answer
  • Jacob's piggy bank has
    6·1 answer
  • Hey y’all. I’m so embarrassed and I want to hit my head so BAD:( I’m literally crying. So I had a test in math and I’ve always b
    10·2 answers
  • The line given by y = 3/2 * x - 2 is dilated by a scale factor centered at the origin. The image of the line after dilation is g
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!