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3 years ago

A building is 964 feet tall. Two people are standing on the ground directly west of the building. The

Mathematics

1 answer:

Lina20 [59]3 years ago

5 0

Answer:

The distance from both of them = 1463.925 ft

Step-by-step explanation:

The building is 964 ft tall . 2 people are standing on the ground directly west of the building. The first person looks up at an angle of 62° to the top of the building while the second person did same at an angle of 26°. The distance between them can be computed below.

The illustration forms a right angle triangle . Using the SOHCAHTOA principle let us find the distance of the second person from the building

tan 26° = opposite/adjacent

tan 26° = 964/adjacent

adjacent tan 26° = 964

adjacent = 964/tan 26°

adjacent = 964/0.48773258856

adjacent = 1976.49290328 ft

The distance from the second person to the building = 1976.493 ft

Distance of the first person to the building

tan 62° = opposite/adjacent

tan 62° = 964/adjacent

adjacent tan 62° = 964

adjacent = 964/tan 62°

adjacent = 964/1.88072646535

adjacent = 512.567892122

distance from the first person to the building = 512.568 ft

The distance from both of them = 1976.493 ft - 512.568 ft = 1463.925 ft

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Functions are used to represent graphs, and vice versa.

The function represented by the graph is $f(x) =- |x + 4| + 3$

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

$f(x) =a |x - h| + k$

Where

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The vertex is the minimum or the maximum point on the graph.

So, we have:

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The function becomes

$f(x) =a |x + 4| + 3$

The function also passes through the point (-1,0).

So, we have:

$0 =a |-1 + 4| + 3$

$0 =a |3| + 3$

Remove the absolute bracket

$0 =3a + 3$

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$3a =- 3$

Divide both sides by 3

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Substitute -1 for (a) in $f(x) =a |x + 4| + 3$

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2 years ago

The area of a rectangle is 60 cm2 If the width of the

aleksklad [387]

The length of the rectangle is 10 cm and perimeter of the rectangle is 32 cm.

Step-by-step explanation:

Given,

The area of rectangle = 60 sq cm

Width (b) of the rectangle = 6 cm

To find the length and perimeter of the rectangle.

Formula

The area of the rectangle = l×b

The perimeter of the rectangle = 2(l+b)

According to the problem,

l×b = 60

or, l×6 = 60

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3 years ago

-2m+8+m+1=0 <br>What does m equal?

Sergio [31]

Answer:

m = 9

Step-by-step explanation:

-2m + 8 + m + 1 = 0

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3 years ago

Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 ever

omeli [17]

The <em>correct answers</em> are:

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It would take 5 months.

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200+50

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She would save $250.

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