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Finger [1]
3 years ago
10

The ponce de leon lighthouse in St.Augustine, Florida, is the second tallest brick tower in the United States.It was built in 18

87 and rises 175 feet above sea level. How far from the shore is a motorboat if the angle of depression from the top of the lighthouse is 13 degree 15 minutes?

Mathematics
2 answers:
Whitepunk [10]3 years ago
8 0

Answer:

743.41 feet.

Step-by-step explanation:

In this question it is given that height of the tower OS is 175 feet and angle of depression ∠ASB = 13°15'

angle of depression to the boat B will be equal to the angle of elevation "∠B"

Now  ∠ASB = 13°15' ≈ 13° + (\frac{15}{60})°

= 13° + (0.25)°

= 13.25°

Now tan ∠B = \frac{SO}{OB}

 tan (13.25) =  \frac{175}{x}

            x     =  \frac{175}{0.2354}

                   = 743.41 feet.

Motorboat is 743.41 feet far from the shore.

vovikov84 [41]3 years ago
6 0
Using a right triangle formed by boat with base and top of lighthouse.Note: 15 minutes = 0.25 degreesLet d be distance the boat is from shore.tan(90−13.25)=d/175
d=175∗tan(76.75)=743.2
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Option A:

I and III only the answers.

Solution:

Let white vases be "w" and red vases be "r".

Cost of total flower = $336

Cost of each vase = $11

Total cost of the centerpieces

                = Cost of (white vases + red vases)  + Cost of flowers

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Total cost of the centerpieces = 11w + 11r + 336 = 11(w + r) + 336

Therefore I and III only the answers.

Option A is the correct answer.

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2 years ago
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6 0
3 years ago
How do I do number 4​
nikitadnepr [17]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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GalinKa [24]
B because it is moved but doesn’t change size
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3 years ago
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4 0
3 years ago
Read 2 more answers
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