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nadezda [96]
2 years ago
5

From the observation deck of a skyscraper, Madison measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If

the observation deck is 1143 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
mrs_skeptik [129]2 years ago
5 0

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

<h3>What is trigonometric ratio?</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.

Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trig ratio:

tan(23) = d/1143

d = 485.2 feet

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Find out more on trigonometric ratio at: brainly.com/question/24349828

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No a polygon only has 3 sides and 3 angles.

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(5x² – 8x + 1) + (2x² - 4x – 11)
djverab [1.8K]

Answer:

7x²-12x-10

Step-by-step explanation:

(5x²-8x+1) + (2x²-4x-11)

combine like terms

7x²-12x-10

7 0
3 years ago
Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She
daser333 [38]

Answer:

See attachment for plot

Step-by-step explanation:

Given

y =2x

R =+2 --- increment in the rate

First, we need to model the new rate

A linear equation is:

y = mx + b

Where

m = rate

Compare y =2x and y = mx + b. we have:

m =2

The above represents the previous rate.

The new rate:

R =+2

Rewrite as:

R = m+2

R = 2+2

R = 4

So, the model is:

y = Rx

y = 4x

<u>The plot at 1 and 2 minutes</u>

When x = 1

y = 4x = 4 * 1 = 4

When x = 2

y = 4x = 4 * 2 = 8

So, we have:

(x_1,y_1) =(1,4)

(x_2,y_2) =(2,8)

<em>Whether she moves backwards or forward, the distance covered remains the same</em>

<em>See attachment for plot</em>

5 0
3 years ago
paige spent $7.55 on some report covers and one lanyard at the spirit shop. Each report cover costs $0.35 and the layard cost $6
fomenos

Answer:

The answer is 3.

Step-by-step explanation:

7.55-6.50=1.05

1.05/.35=3

8 0
3 years ago
Review the steps of the proof of the identity
astraxan [27]

Answer:

step 2

and then step 3 : the error neutralized the error of step 2

Step-by-step explanation:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

and because

sin(-b) = -sin(b)

cos(-b) = cos(b)

we have

sin(a - b) = sin(a)cos(-b) + cos(a)sin(-b) =

= sin(a)cos(b) - cos(a)sin(b)

3pi/2 = 270° or -90°.

sin(3pi/2) = sin(270) = sin(-90) = -1

that means, it is the full radius straight down from the center of the circle.

cos(3pi/2) = cos(270) = cos(-90) = cos(90) = 0

so, step 1 is correct :

sin(A - 3pi/2) = sin(A)cos(3pi/2) - cos(A)sin(3pi/2) =

= sin(A)×0 - cos(A)×(-1) (correct step 2)

but as we see, the provided step 2 is incorrect.

it should have been the indicated

sin(A)×0 - cos(A)×(-1)

and NOT the provided

sin(A)×0 + cos(A)×(-1)

step 3 based on the erroneous step 2 should then have been

sin(A)×0 - (1)cos(A)

but instead another error with the sign was made that neutralized the error of step 2 and we got after this second mistake by pure chance the overall correct step 3

sin(A)×0 + (1)cos(A)

so, again, the first error was made in step 2.

but technically, there was also a consecutive error made in step 3 to bring everything back to the correct approach.

4 0
2 years ago
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