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hammer [34]
3 years ago
10

The sears tower in chicago is 1454 feet high. sketch and find the angle of elevation from a point 750 feet from the base to the

top of the tower. relate your answer to the nearest tenth.

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
8 0

Answer:

The correct answer is 62.7

Step-by-step explanation:

Use tan (tan= opp/adj)

Input your values:

Height- 1454

Length from Base- 750

Equation:

tan(x)=1454/750 (Gives you 1.938...)

The use the inverse of tan and use 1.938

Equation:

atan(1.938)= 62.07

Hope this helped you out :}

Dvinal [7]3 years ago
5 0
The tower will be represented by AB and BC is the base of the tower to the point 750 ft. The angle of elevation is α.
the value of α will be given by:
tan α=(AB)/(BC)
AB=1454 ft
BC=750 ft
hence:
tan α=750/1454
tan α=0.5158
thus
α=arctan 0.5158
α=27.2855~27.3°

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A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.
Tpy6a [65]

Answer:

6 meters by 9 meters

Step-by-step explanation:

<u><em>Step 1: Formula for perimeter of rectangle</em></u>

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

<u><em>Step 2: Find the length and width in terms of x</em></u>

Width = x

Length = 1.5 times width

Length = 1.5x

<u><em>Step 3: Find x</em></u>

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

<u><em>Step 4: Find the length and width</em></u>

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

6 0
3 years ago
4(2x + 2) + 12 &gt; 100
Komok [63]

Answer:

x > 10

Step-by-step explanation:

4(2x + 2) + 12 > 100

4(2x + 2) > 100 -12

4(2x + 2) > 88

2x + 2 > 22

2x> 22-2

2x > 20

x > 10

3 0
3 years ago
If a cylinder has a height of 7 m and its base has a radius of 6 m, what is its volume? Use 3.14 for 5 and
tia_tia [17]

Answer:

Step-by-step explanation:

5 0
3 years ago
Combine the terms in the given polynomial then evaluate for x=3, and y=-1
Novay_Z [31]
Answer:xy^2+3x^2y;\text{  -24}

Explanation:

The given expression is:

xy+3xy^2-2xy+3x^2y-2xy^2+xy

Combine like terms

xy+xy-2xy+3xy^2-2xy^2+3x^2y

Simplify the resulting expression

\begin{gathered} 2xy-2xy+3xy^2-2xy^2+3x^2y \\  \\ xy^2+3x^2y \end{gathered}

Substitute x = 3 and y = -1 into the simplified expression

\begin{gathered} xy^2+3x^2y \\  \\ 3(-1)^2+3(3)^2(-1) \\  \\ 3(1)+(-27) \\  \\ 3-27 \\  \\ =-24 \end{gathered}

6 0
1 year ago
The fourth question
kodGreya [7K]

Step-by-step explanation:

Given:

AD is the bisector of ∠BAC

∠CPD = ∠BPD

1) ∠CAP = ∠BAP

Reason: definition of angle bisector

2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB

Reason: definition of supplementary angles

3) 180 − ∠APC = 180 − ∠APB

Reason: substitution

4) ∠APC = ∠APB

Reason: algebra

5) AP = AP

Reason: reflexive property

6) ΔAPC ≅ ΔAPB

Reason: ASA congruence

4 0
3 years ago
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