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murzikaleks [220]
3 years ago
13

A lighthouse operator sights a sailboat at an angle of depression of 12 degrees. If the sailboat is 80m away, how tall is the li

ghthouse?
BEST EXPLAINED ANSWER GETS A BRAINLIEST!!!

Mathematics
1 answer:
mart [117]3 years ago
4 0
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think. 

Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h

In short,
adjacent = 80
opposite = h

We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018  <<-- see note below

So the lighthouse is roughly 17.0045249336018 meters tall

Answer: 17.0045249336018

Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to

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Answer:

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26

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Step-by-step explanation:

39 - 13 = 26

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3 years ago
16. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
il63 [147K]

Answer:

Given equation are:

y = -\frac{1}{4}x+8                  ......[1]

-2x+8y = 4                             .....[2]

  • The two lines are parallel lines then their slopes will be equal.
  • When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.

Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.

Slope(m_1) of equation of line in [1] is;

y = -\frac{1}{4}x+8  

then;

m_1= -\frac{1}{4}

Slope(m_2) of equation of line in [2];

-2x+8y = 4

Add both sides 2x we get;

-2x + 8y + 2x = 2x + 4

Simplify:

8y = 2x +4

Divide both sides by 8 we get;

y = \frac{1}{4} x + \frac{1}{2}

then;

m_2 = \frac{1}{4}

Therefore, the given two lines are neither parallel nor perpendicular.

4 0
3 years ago
¿Cuál es el valor absoluto de 9?
Fantom [35]
Por lo que, el valor absoluto de -9 es 9. El valor absoluto de 9 es el número de unidades que está 9 del cero. Nueve está a nueve unidades de cero.
6 0
3 years ago
If you mix 1 cup of chocolate chips and 1 cup of raisins what is the percentage of chocolate chips
algol13

Answer:

50%

Step-by-step explanation:

50% because when there is only 2 variables and they are each 1 cup there is an even amount of stuff and when you ask for only one percentage that would be 50% because everything is even. Even if you asked for the percentage for the cup of raisins it would also be 50%. Hope this helps <3

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Answer:

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Step-by-step] explanation:

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