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oksano4ka [1.4K]
2 years ago
15

A flagpole stands atop a building. From a point 10' away from the base of a building, the angles of elevation of the top and bot

tom of the flagpole measure 80 degrees and 79 degrees respectively. How tall is the building? How long is the flagpole?
(Mostly wondering how to model the problem.)
Mathematics
1 answer:
Debora [2.8K]2 years ago
4 0

Answer:

  building: 51.4 ft

  flagpole: 5.3 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

If we let b and p represent the heights of the building and flagpole, respectively, then we can write two equations using the tangent relation:

  tan(79°) = b/10

  tan(80°) = (b +p)/10

Multiplying these equations by 10 gives the values we're interested in.

  b = 10·tan(79°) ≈ 51.4 . . . feet

  b +p = 10·tan(80°) ≈ 56.7 . . . feet

Then the height of the flagpole is ...

  p = (b+p) -b = (56.7 ft) -(51.4 ft) = 5.3 ft

The building is 51.4 ft tall.

The flagpole is 5.3 ft tall.

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18/13=3/4x<br> what does x equal?
sveta [45]

Answer:

x = 24/13

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

18/13 = 3/4x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Divide both sides by 3/4:          x = 24/13

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    18/13 = 3/4(24/13)
  2. Multiply:                        18/13 = 18/13
5 0
2 years ago
What is the answer??
Svetradugi [14.3K]

Answer:

32.

Step-by-step explanation:

I accidentally put my age too high. Im only in middle school but 32 could be one answer. If two sides are the same then it could be an isoceles triangle or whatever.

6 0
3 years ago
Using Triangle Congruence Theorems
kodGreya [7K]

There are a total of five theorems congruent triangles. They are summarized as:

  • SAS
  • SSS
  • AAS
  • RHS and
  • ASA.

<h3>What are the definitions of the Theorems of Congruent Triangles?</h3>

SAS - Side Angle Side

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

SSS - Side Side Side Rule

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are proportional to the size three sides of the second triangle.

AAS - Angle Angle Side Rule
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the comparable angles and sides of another triangle.

ASA - Angle Side Angle rule

According to the ASA rule, two triangles are said to be congruent if any two angles and the side contained between the angles of one triangle are proportional to the size two angles and side included in between angles of the second triangle.

RHS - Right Angle- Hypotenuse side Rule

According to the RHS rule, two right triangles are said to be equivalent if their hypotenuses and one of their sides are identical to those of another right-angled triangle.

Learn more about theorems of congruent triangles at:
brainly.com/question/2102943
#SPJ1

4 0
2 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!<br> 8−(−3)=
sattari [20]

Answer:

11

Step-by-step explanation:

<em>When you subtract a negative number, you add them.</em>

<em>Example:  5 - (-5) = 5 + 5 = 10</em>

<em>Example:  1 - (-14) = 1 + 14 = 15</em>

<u>Step 1:  Subtract</u>

8 - (-3)

8 + 3

11

Answer:  11

6 0
3 years ago
Read 2 more answers
Please please help me again, I really need help and thank you.
ipn [44]

Answer:

Perimeter of Compound Shapes: Composite Rectangles. Perimeter is the total distance around the outside of a shape. horizontal. sides must be the same length in total as the one longer red side.

Step-by-step explanation:Also not sure...Hope this kinda helps...

5 0
3 years ago
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