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
denis-greek [22]
2 years ago
15

the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of th

e shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?​
Mathematics
1 answer:
kobusy [5.1K]2 years ago
7 0

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

You might be interested in
If 2+2 is 4 then who ended up going to Adrian's kickback?
Naily [24]

Answer:

Uneducated people.

Step-by-step explanation:

Stay

In

School

Kids

6 0
2 years ago
Read 2 more answers
What is 173.22 divided by 4?
Kisachek [45]
43.305 or in Mixed Number is 43 61/200 or in improper Fraction is 8661/200
3 0
3 years ago
Read 2 more answers
From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha
Helga [31]

Answer:

The correct option is D. 2/7

Step-by-step explanation:

Consider the provided information.

There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

Thus, the number of ways to select 3 member out of 8-2=6

(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)

The required probability is:

\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}

Hence, the correct option is D. 2/7

6 0
3 years ago
Given circle and circle with radii of 6cm and 4cm respectively.
noname [10]

Solution :

Given that :

The radius of circle A = 6 cm

The radius of circle C = 4 cm

In circle A

\angle EAF = \theta = 140^\circ

The length of arc EF = $2 \pi r \times \frac{\theta}{360^\circ}$

                                   $=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$

                                    = 14.653 cm

In circle C

\angle GCH = \theta = 140^\circ

The length of arc GH = $2 \pi r \times \frac{\theta}{360^\circ}$

                                   $=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$

                                    = 9.769 cm    

Therefore,

The length of EF is 14.653 cm

The length of GH is 9.769 cm

The length of EF is  1.5 times the length of GH

i.e.                   14.653  = 1.5 x 9.769

                       14.653 = 14.653

Hence proved.

                             

6 0
3 years ago
Correct solutions if identified to be incorrect​
german

Answer:

it is correct

Step-by-step explanation:

b/c 5a square - 25b square

= 5(a square - 5 b square )

7 0
2 years ago
Other questions:
  • Which shows 24+54 written using GCF and the distributive property
    15·2 answers
  • How to solve 421 divided by 2.54
    12·2 answers
  • What is the slope of (-5,-1) (5,5)? Explain.
    12·2 answers
  • Please help me no one even bothers to help so plzzzz i BEGGGGGGGGGGG
    14·1 answer
  • THE 3 STOOGES ARE ASKED WHO IS THE SMARTEST. TWO OF THEM ARE TRUTHFUL AND ONE IS A LIAR. LARRY SAYS CURLY IS THE SMARTEST, MOE S
    10·2 answers
  • How do i find x and y?​
    9·2 answers
  • PLEASE Help Me SOLVE NUMBER 3 PLEASE
    9·1 answer
  • Graph the following line. y=3/2x -5
    12·1 answer
  • PLEASE. HELP. SERIOUSLY PLEASE.
    5·1 answer
  • You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!