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
Fofino [41]
3 years ago
5

A vertical pole 6 feet long casts a shadow 55 inches long. Find the angle of elevation of the sun. Draw a diagram and find the a

ngle of elevation of the sun.
A.) 6.2°

B.) 37.4°

C.) 53.0°

Mathematics
2 answers:
ivolga24 [154]3 years ago
8 0

A vertical pole(AB) 6 feet long casts a shadow(CB) 55 inches long as shown in the attached image. Since the angle of elevation of sun is \angle C. We hav to find the value of \angle C.

Firstly, we will change the dimensions of pole(in feet) to the dimension of shadow( in inches) . So, that the dimensions of pole and shadow are same.

Since, 1 feet = 12 inches.

6 feet = 6 \times 12 = 72 inches.

Now, let us consider the triangle ABC in the attached image,

We have to find \angle C

tan\Theta =\frac{Perpendicular}{base}

\tan C= \frac{AB}{BC}= \frac{72}{55}

= 1.309

= 52.6^{\circ} = 53^{\circ}

xxTIMURxx [149]3 years ago
6 0

Length of the pole is = 6 feet=6*12=72 inches

Length of shadow of the pole = 55 inches

Here we use tangent function which relates height and shadow . Let the angle of elevation be x .

tan x = \frac{height}{shadow}

tan x = \frac{72}{55}

x= 52.6 degree= approx 53 degree

So the correct option is C.

You might be interested in
Jake and Erica were solving a system of equations. They both noticed that the two lines had the same slope. Jake said that becau
cluponka [151]
The correct answer is option A. Erica is correct in saying that the two lines are not necessarily the same and we should also look at the y-intercepts before determining how many solutions there were. <span>Two lines with equal slopes could be the same line, but only if they have the same y-intercept.</span>
3 0
2 years ago
Read 2 more answers
Which sampling method is generally considered the weakest?
babunello [35]
Answer – C. (Convenience sampling)

The sampling method that is generally considered the weakest is convenience sampling. This is because in convenience sampling, there is usually no inclusion criteria identified prior to the selection of subjects. Convenience sampling involves getting participants wherever you can conveniently find them. Typically, the first available participants (or any other primary data source, as the case may be) will be used for the research without any additional requirements.Other names by which convenience sampling is known are: Incidental Sampling, Chunk Sampling, and Accidental Sampling.
8 0
3 years ago
Read 2 more answers
Brainliest to first correct answer
Artyom0805 [142]

Answer:

Smallest surface area is of Cuboid B i.e 440 cm²

So, The company will choose cuboid B

Step-by-step explanation:

We need to find the surface area of all cuboids.

Surface Area of Cuboid A:

Length = 6

Breadth = 25

Height = 4

The formula used is: Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)

Putting values and finding surface area:

Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2((6 \times 25)+(25 \times 4)+(6 \times 4))\\Surface \ Area \ of \ Cuboid=2(150+100+24)\\Surface \ Area \ of \ Cuboid=2(274)\\Surface \ Area \ of \ Cuboid=548\: cm^2

So, Surface Area of Cuboid A = 548 cm²

Surface Area of Cuboid B:

Length = 10

Breadth = 6

Height = 10

The formula used is: Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)

Putting values and finding surface area:

Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2(10 \times 6)+(6 \times 10)+(10 \times 10))\\Surface \ Area \ of \ Cuboid=2(60+60+100)\\Surface \ Area \ of \ Cuboid=2(220)\\Surface \ Area \ of \ Cuboid=440\: cm^2

So, Surface Area of Cuboid B = 440 cm²

Surface Area of Cuboid C:

Length = 2

Breadth = 20

Height = 15

The formula used is: Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)

Putting values and finding surface area:

Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2((2 \times 20)+(20 \times 15)+(2 \times 15))\\Surface \ Area \ of \ Cuboid=2(40+300+30)\\Surface \ Area \ of \ Cuboid=2(370)\\Surface \ Area \ of \ Cuboid=740\: cm^2

So, Surface Area of Cuboid C = 740 cm²

So, We get:

Surface Area of Cuboid A = 548 cm²

Surface Area of Cuboid B = 440 cm²

Surface Area of Cuboid C = 740 cm²

The company wants to choose the design having smallest surface area.

So, smallest surface area is of Cuboid B i.e 440 cm²

So, The company will choose cuboid B

5 0
3 years ago
PLEASE HELP! I would really appreciate it!
andrezito [222]
The awnser is C because there is a right angle which is 90 degrees then there is also a vertical angle of 118 degrees. There is also a supplementary angle of 70 degrees. When you add these angles you get 278 degrees which you subtract from 360 to find the last angle which is K and you get 82 degrees
6 0
3 years ago
The vertex is at (-1,-3) move it to (8,10) on the coordinate grid.
givi [52]
Right 9 spaces and up 13 spaces
5 0
3 years ago
Other questions:
  • Eileen randomly chooses 15 seeds from the bag of flower seeds she has left over from last year, and 10 seeds from the bag she bo
    12·2 answers
  • Find the slope and y-intercept of the graph of 4x-3=36
    15·1 answer
  • ► 00:00
    8·1 answer
  • Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter t
    14·1 answer
  • Find the area of efg
    10·1 answer
  • What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex o
    9·1 answer
  • Question 1. The sticker price of a picture frame is $10 and the sales tax is 10%. What is the total price of the picture frame?
    10·1 answer
  • What is the equation of a parallel line to y = -5x + 2 that passes through the point (-1, 4)?
    12·1 answer
  • Plz help I need help
    10·2 answers
  • Please help me with this math problem!! Will give brainliest!! Please explain how you got your answer! :)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!