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charle [14.2K]
2 years ago
7

From her eye, which stands 1.69 meters above the ground, Penelope measures the angle of elevation to the top of a prominent skys

craper to be 16∘. If she is standing at a horizontal distance of 200 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.​
Mathematics
1 answer:
exis [7]2 years ago
7 0

Answer: 59.04

Step-by-step explanation:

tan 16= x/200

tan16/1=x/200  

200 tan 16=x  

x=57.349077...

x=57.349077...

Add 1.69, the distance from the ground to her eye:

57.349077...+1.69= 59.039077...

≈   The skyscraper is 59.04 meters tall.

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Marley runs 5 yards down the track from point A to point B, and then stops and runs
julia-pushkina [17]

Answer:

\sqrt{61}=AC or 7.8102=AC

Step-by-step explanation:

If we connect a line from point A to point C we create a triangle, and we can use pythagorean theorem to find this distance. So the line from point A to point C will be our hypotenuse and the other two distances will be out side lengths.

5^{2}+6^{2}=AC^{2}

25+36=AC^{2}

61=AC^{2}

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3 0
3 years ago
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yulyashka [42]

Answer: 4.24264069

Step-by-step explanation: I think you mean the square root?

4 0
3 years ago
After years of maintaining steady population of 32,000 the population of town begins to grow exponentially. After 1 year and an
GuDViN [60]

Answer: y = 32,000(1.08)^c

Step-by-step explanation:

Given that the initial population

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t = 1 year

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5 0
3 years ago
Someone please help
AleksandrR [38]

Replace y with 31:

31 = 7x -4

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6 0
2 years ago
At noon a train leaves Washington, D.C., headed for Charleston, South Carolina, a distance of 500 mi. The train travels at a spe
Bogdan [553]

Answer:

6 hours

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

Firstly, it is important to know where the train that leaves Washington will get after one hour since they didn't start at the same time between noon and 1 is 1 hour.

Speed = distance / time

Distance = speed * time

The distance S = 44 * 1

S= 44m

To determine the time they will pass each other

500(total distance)- 44 ( distance gotten to in 1 hour) - d(the distance it willl pass each other =44* t(time the train will pass each other.

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456-32t=44t

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The time they will pass each other is six hours.

4 0
3 years ago
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