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3 years ago

Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is

Mathematics

1 answer:

NeTakaya3 years ago

6 0

Answer:

Height of flagpole = 571 ft

Step-by-step explanation:

Given:

Angle of elevation to the top of the flagpole is 55° .

Distance from the eyes to the base of flagpole = 400 ft.

To find the height of the flagpole.

Solution:

We can draw the situation as a right triangle as shown below.

In triangle ABC.

$BC=400\ ft$

∠C= 55°

To find the length AB (height of the flagpole).

Applying trigonometric ratio :

$\tan\theta=\frac{Opposite\ side}{Adjacent\ side}$

$\tan C=\frac{AB}{BC}$

Plugging in values.

$\tan 55\°=\frac{AB}{400}$

Multiplying both sides by 400.

$400\tan 55\°=\frac{AB}{400}\times 400$

$571.26=AB$

∴ $AB\approx 571\ ft$

Height of flagpole = 571 ft

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jok3333 [9.3K]

Answer:

Values that make it equal:

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3 years ago

What is the length of the diagonal of a 10 foot by 8 foot rectangle?

zloy xaker [14]

Diagonal of a rectangle formula:

Diagonal = √l² + w²
Diagonal = √10² + 8²
Diagonal = √100 + 64
Diagonal = √164
Diagonal = 12.806 feet.

Or you can use the pythagorean theorem. The diagonal of a rectangle is the hypotenuse of a triangle.

a² + b² = c² ; where a and b represents the lengths of the triangle and c is the hypothenuse. In this case, the lengths are 10 ft and 8ft.

10² + 8² = 100 + 64 = 164 ; This represents c².
c = √c² = √164 = 12.806 ft

6 0

3 years ago

The members of a health spa pay annual membership dues of $300 plus a charge of $2 for each visit to the spa. Let Y denote the d

Ganezh [65]

Answer:

Y = 300 + 2X

Y( in dollars)

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Step-by-step explanation:

Given:

Annual fixed due = $300

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X = number of visits in a year

Y = total yearly cost.

Y = annual cost + variable cost

Y = $300 + $2×X

Y = 300 + 2X

Y( in dollars)

It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.

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Point A is located at (2, 6), and D is located at (−4, 10). Find the coordinates of the point that lies halfway between A and D.

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