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hram777 [196]
3 years ago
7

Missy stands at a horizontal distance of 45 ft from the base of a building. the angle of elevation from missy to the top of the

building is 48°. what is the height of the building to the nearest foot?

Mathematics
2 answers:
natita [175]3 years ago
8 0
Tan 48° = \frac{height}{45}
height = tan 48° x 45 = 49.98 ft 
iogann1982 [59]3 years ago
3 0
The problem can be drawn as a right triangle (image attached) and we can use ratio of tan to determine the height of the building
tan of the angle = side in front of the angle / side adjacent to the angle
tan 48° = height of building / horizontal distance

plug the numbers into the equation above
height of building / horizontal distance = tan 48°
h/45 = tan 48°
h = tan 48° × 45
h = 1.1106 × 45
h = 49.98 feet

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Strike441 [17]

Answer:

C. Two smaller atoms come together to form a larger atom that is a different element.

Explanation:

Fusion is a reaction in which two nuclei combine to form a nucleus with the release of energy.

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2 years ago
Ignore the erase marks but i have no clue how to do this. please help asap
madam [21]
Since they're vertical angles, they're equal in degree measure

since they're equal, we can make the two expressions equal to each other

5a - 1 = 2a + 20
add 1 to both sides

5a = 2a + 21
subtract 2a from both sides

3a = 21
divide both sides by 3a

a = 7

now, plug the answer you found for a into one of the two expressions

5a - 1 becomes (5*7) - 1, which equals 34

to double check that they're equivalent (since they're vertical angles)

2a + 20 becomes (2*7) + 20, which equals 34

both angles are 34 degrees!
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3 years ago
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Stels [109]
Hello there, and thank you for posting your question here on brainly.

The smallest number out of the bunch is 40.

Hope this helps! 
4 0
3 years ago
Trigonometry <br> Find x<br> 8.3 <br> 34 degrees
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

In Triangle

A

B

C

with the right angle at

C

, let

a

,

b

, and

c

be the opposite, the adjacent, and the hypotenuse of

∠

A

. Then, we have

sin

A

=

a

c

⇒

m

∠

A

=

sin

−

1

(

a

c

)

sin

B

=

b

c

⇒

m

∠

B

=

sin

−

1

(

b

c

)

I hope that this was helpful.

Wataru ·  1 · Oct 29 2014

How do you find all the missing angles, if you know one of the acute angles of a right triangle?

The sum of the measures of all the angles in a triangle is always equal to

180

o

.

In a right triangle, however, one of the angles is already known: the right angle, or the

90

o

angle.

Let the other two angles be

x

and

y

(which will be acute).

Applying these conditions, we can say that,

x

+

y

+

90

o

=

180

o

x

+

y

=

180

o

−

90

o

x

+

y

=

90

o

That is, the sum of the two acute angles in a right triangle is equal to

90

o

.

If we know one of these angles, we can easily substitute that value and find the missing one.

For example, if one of the angles in a right triangle is

25

o

, the other acute angle is given by:

25

o

+

y

=

90

o

y

=

90

o

−

25

o

y

=

65

o

Tanish J. ·  1 · Nov 26 2014

How do you know what trigonometric function to use to solve right triangles?

Right triangles are a special case of triangles. You always know at least one angle, the right angle, and depending on what else you know, you can solve the rest of the triangle with fairly simple formulas.

http://etc.usf.edu/clipart/36500/36521/tri11_36521.htm

If you know any one side and one angle, or any two sides, you can use the pneumonic soh-cah-toa to remember which trig function to use to solve for others.

s

−

i

n

(

θ

)

=

 

o

−

pposite

/

 

h

−

ypotenuse

c

−

o

s

(

θ

)

=

a

−

djacent

/

h

−

ypotenuse

t

−

a

n

(

θ

)

=

o

−

pposite

/

a

−

djacent

Opposite refers to the side which is not part of the angle, adjacent refers to the side that is part of the angle, and the hypotenuse is the side opposite the right angle, which is

C

in the image above.

For example,lets say you know the length of

a

and the value of angle

A

in the above triangle. Using the cosine function you can solve for

c

, the hypotenuse.

cos

(

A

)

=

a

c

Which rearranges to;

c

=

a

cos

(

A

)

If you know the length of both sides

a

and

b

, you can solve for the tangent of either angle

A

or

B

.

tan

(

A

)

=

a

b

Then you take the inverse tangent,

tan

−

1

to find the value of

A

.

Zack M. ·  4 · Dec 7 2014

What are inverse trigonometric functions and when do you use it?

Inverse trigonometric functions are useful in finding angles.

Example

If

cos

θ

=

1

√

2

, then find the angle

θ

.

By taking the inverse cosine of both sides of the equation,

⇒

cos

−

1

(

cos

θ

)

=

cos

−

1

(

1

√

2

)

since cosine and its inverse cancel out each other,

⇒

θ

=

cos

−

1

(

1

√

2

)

=

π

4

I hope that this was helpful.

Wataru ·  1 · Nov 2 2014

What is Solving Right Triangles?

Solving a right triangle means finding missing measures of sides and angles from given measures of sides and angles.

I hope that this was helpful.

Wataru ·  3 · Nov 6 2014

5 0
2 years ago
Mark had 2 large cookies. He ate 1/4 of one cookie. How much of his cookie does he have left? Write the answer in the form of a
swat32
We will make 2 into a fraction, 2/1. Then, we will multiply it by 4 to get a common denominator. We have 8/4 now. Subtract 8/4 by 1/4, which will give us 7/4. Turn that into a mixed number.

1 3/4 is our answer!
8 0
3 years ago
Read 2 more answers
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