02.02.2023

What is 125ft rounded to the nearest foot?

. 9

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Mathematics
Step-by-step answer
P Answered by PhD

  d.  26 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between angles and legs of a right triangle. Here, the lighthouse height is one leg of a right triangle, and the distance from the base of the lighthouse to the boat is the other leg. The relation ...

  Tan = Opposite/Adjacent

can be helpful here. It will tell you ...

  tan(angle of depression) = (height of lighthouse)/(distance to boat)

Solving for the distance to the boat, we get ...

  distance to boat = (height of lighthouse)/tan(angle of depression)

__

Then the distance to the first boat is ...

  d1 = (162 ft)/tan(50°) ≈ 135.93 ft

and the distance to the second boat is ...

  d2 = (162 ft)/tan(45°) = 162 ft

So, the distance between the boats is ...

  162.00 ft -135.93 ft = 26.07 ft ≈ 26 ft

_____

The attached drawing is to scale.


A man standing on a lighthouse of height 162 ft sights two boats directly in front of him. One is at
Mathematics
Step-by-step answer
P Answered by PhD

  d.  26 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between angles and legs of a right triangle. Here, the lighthouse height is one leg of a right triangle, and the distance from the base of the lighthouse to the boat is the other leg. The relation ...

  Tan = Opposite/Adjacent

can be helpful here. It will tell you ...

  tan(angle of depression) = (height of lighthouse)/(distance to boat)

Solving for the distance to the boat, we get ...

  distance to boat = (height of lighthouse)/tan(angle of depression)

__

Then the distance to the first boat is ...

  d1 = (162 ft)/tan(50°) ≈ 135.93 ft

and the distance to the second boat is ...

  d2 = (162 ft)/tan(45°) = 162 ft

So, the distance between the boats is ...

  162.00 ft -135.93 ft = 26.07 ft ≈ 26 ft

_____

The attached drawing is to scale.


A man standing on a lighthouse of height 162 ft sights two boats directly in front of him. One is at
Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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