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katovenus [111]
3 years ago
12

the angel of elevation from where casey is standing to the top of an 84ft tall lighthouse is 58 degrees how far is casey standin

g from the lighthouse
Mathematics
2 answers:
In-s [12.5K]3 years ago
5 0

Answer: 52.489…

Step-by-step explanation:

Angle of elevation is 58 degrees, and the opposite value is 84 feet, so you’re lookin g for adjacent. That means you’ll use tangent to solve this equation:

Tan(58)=84/x

iren [92.7K]3 years ago
3 0

Answer: Casey is standing 52.5 feet from the lighthouse.

Step-by-step explanation:

A right angle triangle is formed. The height of the lighthouse represents the opposite side of the right angle triangle. The distance, h from the lighthouse to where Casey is standing represents the adjacent side of the right angle triangle. Casey's line of sight along the angle of elevation represents the hypotenuse.

To determine h, we would apply

the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 58 = 84/h

h = 84/tan 58 = 84/1.6

h = 52.5 feet

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Nataly [62]
Answers:

1.) 18 lemons
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Explanation:

Porportions are a lot like fractions. For the first question, you can make the fraction 6/8, or 3/4 simplified. This means that for every 8 cups of water, you need 6 lemons.

Then, to find the amount of lemons you need if you have 24 cups of water, you need to think about what×8= 24. If we divide 24 by 8, we get 3, so if we multiply our fraction by 3/3, we should get the answer.

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6 0
3 years ago
Can you guy help for this questing <br> 1234
postnew [5]

Answer:

1. Median

2. Altitude

3.  Altitude

4. Neither

Step-by-step explanation:

Median- splits the side into two congruent parts

Altitude- Makes a right  angle

1. Splits the side. Median

2. Makes a right angle. Altitude

3.  Makes a right angle. Altitude

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4 0
3 years ago
What is 52,642 rounded to the nearest thousand
valkas [14]
2 represents the thousands. Round the number after 2 which is 6. Since 6 is greater than 5, you round it up and you get 53,000.
8 0
3 years ago
67.1 minus 38.29 = <br> A. -105.39 <br> B. 28.81 <br> C. -28.81 <br> D. -44.352
zalisa [80]
67,1 - 38,29 = 28,81

B

5 0
3 years ago
10 in.<br> 13 in.<br> 16 in. <br> What is the Surface area of the triangular prism
Marianna [84]

Answer:

about 704 in 2

Step-by-step explanation:

surface area-2Ab+Pb*h

=2(13*8)+49.6(10)

=704

3 0
3 years ago
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