answer.
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
DiKsa [7]
2 years ago
12

A vertical pole, 40 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the groun

d to the top of the pole is θ=67∘, use the dimensions given to find the length of the shadow, a, in feet. Do not include the units in your answer.

Mathematics
1 answer:
aksik [14]2 years ago
3 0

Answer:

Lenght of a shadow is 96.6

Step-by-step explanation:

you may use right angle triangle to find distance if you know angle of elevation.

                 

         (a)   adjacent                     (b)  hypotenuse

                             (c)   Opposite

we know that:

adjacent (a)=40

opposite (b)=?

         tan ∅= opposite/adjacent

                 tan 67°=opposite/40

                2.4142  * 40 = adjacent

                adjacent =96.6

You might be interested in
On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).
daser333 [38]

Answer:

Step-by-step explanation:

Given a triangle has points:

(-5,1),(2,1), (2,-1)

Let us label the points:

A(2,1),

B(-5,1) and  

C(2,-1)

To find:

Distance between (−5, 1) and (2, −1) i.e. BC.

Horizontal leg AB and

Vertical leg, AC.

Solution:

Please refer to the attached diagram for the labeling of the points on xy coordinate plane.

We can simply use Distance formula here, to find the distance between two coordinates.

Distance formula :

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For BC:

x_2 = 2\\x_1 = -5\\y_2 = -1\\y_1 = 1

BC = \sqrt{(2--5)^2+(-1-1)^2} = \sqrt{63}

Horizontal leg, AC:

x_2 = -5\\x_1 = 2\\y_2 = 1\\y_1 = 1

AC = \sqrt{(2-(-5))^2+(1-1)^2} = 7

Vertical Leg,  AB:

x_2 = 2\\x_1 = 2\\y_2 = -1\\y_1 = 1

AB = \sqrt{(2-2)^2+(-1-1)^2} = 2

5 0
2 years ago
Read 2 more answers
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to
Serhud [2]

Answer:

either of ...

• quadrant 1 only

• quadrant 1 and 4 only

Step-by-step explanation:

Time since the storm started is always positive. The values of x are positive in quadrants 1 and 4.

Temperatures in a blizzard are not always terribly cold. Some of the coldest snowstorms on record have temperatures in the range of +5 °F to +18 °F. These values are negative temperatures on the Celsius scale, so the quadrant used for plotting them will depend on the temperature scale you choose.

While temperatures in Alaska can be well below zero (on either the F or C temperature scales), the air usually has to warm up to the range indicated above before it can snow. US temperatures are generally reported using the Fahrenheit scale, but weather records are often kept using the Celsius scale.

I would be inclined to choose "Quadrant 1 and 4 only", but arguments can be made for "1 only" and "4 only" as suggested above.

8 0
2 years ago
Zachary’s final project for college course took a semester to write and had 95,234 words.zachary wrote 35,295 words the first mo
kap26 [50]

Answer:

40,999

Step-by-step explanation:

95,234-35,295= 59,939 and then 59,939-19,240= 40,999

5 0
2 years ago
A river drops 12 ft vertically over a horizontal distance of 1500 ft.
elixir [45]

Answer:

Slope = rise / run

= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)

= -0.008

4 0
2 years ago
In a large city, 46% of adults support the local football team building a new stadium. If a poll is taken from a random sample o
Sveta_85 [38]

Answer: 0.46, 0.056, the distribution is approximately normal

Step-by-step explanation: The shape is approximately normal since the expected number of successes equals 36.8 and the expected number of failures equals 43.2 are both larger than 10

7 0
2 years ago
Other questions:
  • Py+qy=−4y+8 solve for y
    11·2 answers
  • Water has a density of 1.0 g/cm3. What is the mass of 10.0 cm3 of water?
    9·2 answers
  • A train is traveling up slight grade with an angle of inclination of only 2 degrees. After traveling 1 mile, what is the vertica
    13·1 answer
  • Mackenzie took out a payday loan for $1100 that charged a $95 fee. If the loan matures in 2 weeks, what is the approximate effec
    7·2 answers
  • Fill in the table using this function rule. y=-4x+2<br><br> x y<br> -1 <br> 0<br> 1<br> 2
    9·1 answer
  • What is the value of x?
    10·1 answer
  • Suppose f and g are continuous functions such that g(2) = 6 and lim x → 2 [3f(x) + f(x)g(x)] = 36. find f(2).
    6·1 answer
  • Given: AD = BC and BCD = ADC <br> Prove: DE = CE
    13·2 answers
  • You can use a bar diagram to help you write the equation of a linear function.
    12·1 answer
  • Each morning darnell does a combination of aerobics and stretching exercises. the exercises burn different amounts of calories p
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!